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How old are the two of you?
What did you say to prompt her response of not getting involved until it's done?
I'm confused because you said she's dated?
It sounds a little fishy to me. She's dated and she's willing to go out with you every week, but she doesn't want to get involved? She is involved, but she's holding you off emotionally and physically. You can handle this two ways, you can continue to take her out, but give yourself a mental deadline. If she's not ready to consider getting involved after 2 months, then I would move on. Or, you can stop taking her out and tell her to let you know when she thinks things have calmed down enough for her to get involved. I prefer the second option because you will know for sure within a week or so how she's feeling. Once it sinks in that you're serious about it, she will have to make a decision, even if the decision is not to be with you, at least you know.
Now you're probably telling yourself, if I continue to take her out, eventually she may grow to like me more. That's ok as long as you realize that if she decided at the end of a couple of months that she doesn't want to be with you how much time (and money) you wasted, when you could have spent that time with someone who did want to get involved with you.
I welcome your thoughts, let me know if you want to talk more
If you've been taking her out 'for weeks" as you say, then technically, you are involved, even as just friends. Any outsider, including her ex, could think that you could be dating. If she's dated before, what's different about what you're doing? Why does she care what her ex or his family feels about it now if there's nothing still between them?
When I say she's involved but holding you off, I'm saying, she has no problem going out with you every week, but saying that she can't get 'involved' ensures that you don't become emotionally attached to her, and that you don't move forward physically (try to hold her hand or kiss her) because she's already let you know that she doesn't want that.
I'm only saying to look out for yourself, be sure that you're not giving out far more than you are getting back.
Seeing someone in class and actively taking them out are two different things. You have to decide what's more comfortable for you. In some way she has to see that she can't have the best of both worlds. She cant go out with you every week and yet keep you at arms length by saying she doesn't want to get involved "right now". Like I said, you can give it more time and see if anything changes, or let her know you really like her more than friends, and would prefer to wait until she's ready.
Didn't you say that you asked her out to dinner and that's when she mentioned not getting involved?
You cant use her cancellation or not as a good guage because she sees you as a friend too. So to say, if she accepts the dinner then she's interested in getting involved is wrong. Might be best to flat out tell her how you feel and see what she says. If she says, no i'm not interested in getting involved, then let her know that you may not be able to spend as much time with her because you're developing feelings for her UNLESS you are ok with just being friends.