<human>: Can you condense the text into three sentences or less?

Been dating this girl for 3 months, REALLY great girl, smart, pretty, very independent and strong. Has a bit of family issues that she talks about frequently, and works at a job she loves but the people she works with sort of exile her. She talks about those issues frequently. I'm wondering if this issue stems from this.

The problem that's getting me is we've been dating for 3 months and have had sex 5 times. Yes, 5 times in the newly honeymoon stages. When we first started dating she was off birth control, then the past month and a half she got back on it.

I usually am the one who tries to initiate, and when I do she just brushes it off and asks to do something else. I understand her stress related to work and family but it's getting to the point where it's really starting to impact how I feel about the relationship.

The thing is, how do I approach this? I don't want to come out directly and say, "Why the lack of sex?" Is there a better way of doing it? I want to come off and say am I doing something wrong, is it me? Is there something I could do that would get you in the mood more? I just don't want to put her in a position where she sees sex as a chore and every time I initiate she just gives in and doesn't enjoy it.

To be honest I am slowly on the road of breaking up with her, but I want to communicate how I feel first in the best way possible before going through with that since we're very compatible and she's really awesome. If it's something not fixable, I just don't see it working long-term, but if other people have been through this and know a good way of approaching this I would GREATLY appreciate some advice.
<bot>: GF of 3 months has very low sex drive, may stem from issues unrelated to me that I'm unsure of, want to find best way to communicate my concern and how it could impact us.