What were your beliefs before you got with your GF ? If you are doing this because it's something YOU want to do then...ok, but if you are doing it because it's what your GF wants, then it's going to lead to problems further down the line, & you could actually end up resenting her for it.
I agree with a lot of what Jake the peg says. It does sound like some form of control. I agree with the push, pull part & that in itself is a huge red flag.
I spent 5 years in a relationship with a commitment phobic, most of our relationship was a push pull. He would push me away when he was getting in too deep then pull me back when he wanted closeness, then when his anxiety was bad he would push me away again, it was soul destroying & destructive. It was emotionally & mentally draining.
Healthy relationships are about mutual consent, understanding & compromise. You need to have a think about what YOU want & then talk with your GF & see if you can come to some compromise.