This is something I've wondered for a while now. If you haven't already noticed, it's pretty common for people to point out over and over and over that it's the man's job to take the initiative and pursue. Yet no one really talks about what the woman's job is. What do you ladies think it is?
While I've held to the idea the man usually leads the relationship and pursues, I don't think there's any harm in saying "Hello" to someone and letting them know you're alive. More importantly to reach out, make yourself a little less invisible and interact with people, it puts someone in a more open position to ask to talk to you or bring up a subject they would like to talk about.
I think it's good to encourage someone in talking to you by responding to their calls, messages or wanting to meet in person, say if you like them. Try not to keep them waiting too long or treat them in a way you yourself would dislike being treated. Asking questions is also a good way to get to know someone, or letting someone know you liked what they had to say, or liked something they made (be they someone involved in art, or construction of sorts).
I would just say it's probably a good thing to put yourself out there, and also if you plan on having a family someday, perhaps to take up some skills you'd like to learn to help gear you towards being a mother if that's what you feel the Lord is leading you to become. For example I like to cook and have been studying various types of cooking styles, I've taken up sewing and read the Bible and make time to do that, so that I may teach my children about the Lord as well. I've also been reading theology books, if there's things I don't understand or want to learn I'll usually ask.
That was sort of a ramble, but I hope it answered your question. While I would prefer to be pursued and not do the pursuing, this doesn't mean I can't be inviting and warm and welcome that kind of attention, if that makes sense.
Missblueyes........I think it makes perfect good sense(smile)!! We all live in a society that constantly changes.....in it's laws, it's rules, it's beliefs, it's teachings.....well you get my point! There's a lot of mixed messages out there on everything from dating to our faiths and beliefs......the truth for use as Christians will always be Christ Jesus! Yet some of the decisions we'll have to make, living in this world, but not being part of it, will ultimately be made on an individual or person by person bases.
Were going to have to make some decisions based on our upbringing. Now as believers, we have the blessing of filtering those decisions thru His Word! I said all that to say that our role as "helpmeets" is clear and concise by His Word, yet who we are and how we were raised, is going to have a lot to do with how we make choices.....make decisions! Sharing some things here already on the forums, I will never have a problem with reaching out to someone here that I feel may be a good match.....having common interests. As well as I'll not have a problem either with being reached out to first. I've always been fairly liberal(smile)!
I've never seen it as my "role" to sit back and let a dude do all the work. If there's someone I'm interested in, I'll make it known. It's 2013. I'm fine with taking the initiative. The fact is, not all guys are good at it (especially the nerdy dudes I'm drawn to :-)), so why shouldn't we help them out a little if they need it?
Deep down, would I *prefer* it for a guy to take the initiative? Sure, because then I don't have to worry about rejection. But that's a little silly. I can survive rejection. I'm not so weak and fragile that someone saying, "eh, not feeling it" is going to break me. You get to know the score, move on.
Genesis 24:15 that behold, Rebekah, who was born to Bethuel, son of Milcah, the wife of Nahor, Abraham�s brother, came out with her pitcher on her shoulder. 16 Now the young woman was very beautiful to behold, a virgin; no man had known her.
:45 ��there was Rebekah, coming out with her pitcher on her shoulder;��.�Drink, and I will give your camels a drink also.� �.�Whose daughter are you?
:55 But her brother and her mother said, �Let the young woman stay with us a few days, at least ten; after that she may go.�
:57 So they said, �We will call the young woman and ask her personally.� 58 Then they called Rebekah and said to her, �Will you go with this man?�
And she said, �I will go.�
1. Make oneself available (and visible)
One would not be engaged in a relationship if she isolates herself. She should be sociable and must refrain from isolating herself. However, she should be with the right crowd and occasion. (definitely NOT in the club)
2. Productive when found and exhibit kindness
A bum does not have strong arms to carry a pitcher. Lazy people are not attractive at all. A Christian girl is inclined into helping others and is a good steward of her time, skill and other gifts.
3. Preserve purity
God�s temple is holy. We all know the wisdom behind upholding purity 
4. Identified to be the Lord�s daughter
The fruit reflects the essence of its Bearer. Girls should be Christ-like.
5. Decides for herself
While the family�s approval has weight in choosing a partner but our decision should be personal. It must be God�s will above all else�s mind on the matter.
If ever I would be pursued, I will be candid to him as to the real score and would do my best not to give him false hopes. I will respond according to my personal convictions anchored on my faith in Jesus. I personally believe that God would guide me on how to deal with it.
For me, it is wise NEVER to assume that the guy likes (bigtime) a girl unless the guy tells her so. There�s a lot of problems arose of miscommunications or the lack of communication.
I do not want to make this very long� there is a quote that hit me when I was 19 which goes �stop searching for Mr. Right rather prepare yourself to be Ms. Right.�, our job/role therefore is to keep maturing in our faith so that we are capable of giving HOLY RESPONSES to our suitors.
P.S. Ruth in the Bible shares the same qualities Rebekah had.