I don't enjoy having my girlfriend around either of my parents
Why don't you want your girlfriend with your family?
I don't like to be with the person who will stick her nose into my family affairs.
You aren't a good partner if you don't want her to join in with your family. If you want to take things seriously, eventually you're going to have to meet each others' parents and get approval or hang out with each other. If you don't you're telling her that you're not meaning to be with her for a while.
So now I need approval from my girlfriend? Who would have known that she has so much influence.
You can be with whomever you want, but family is a big part of relationships. You should be willing to let your partner meet your family. You want everyone to be able to get along.