My gf (29f) introduced me (22m) to someone as her friend.

My gf introduced me to someone as her friend.
I guess we?re in what people call now an ?age gap relationship?. I?m 22, she?s 29. Honestly, i don?t think it?s that much, but she makes a big deal out of it. She was first against us dating (we were first friends) because she thought I was too young for her. However, she came around to it and we?ve been dating officially for 2 months.
Cue to earlier today, and she referred to me as her friend to someone she knew that we ran into. (A church member of her church ) (we attend different churches.) I don?t like that she was dishonest to her about it. I talked to her about it after and she said she?s sorry but that she just hasn?t gotten used to the idea of me being younger and didn?t think about it. Again, we?re only 7 years apart. Clearly, she also didn?t want to introduce me as her bf.
I asked her if she?s embarrassed being with me or something and she said ?no, of course not? and again, that she?s sorry. She didn?t seem to understand why I was upset and that she will introduce me to people.
She also hasn?t wanted to me visit her church and vice versa other than it?s too soon. Should I push for her to give me the respect I think I earn, or just let it go as something of her not being ready.?
Tl;dr gf introduced me to someone as her friend and not her bf. I have a different opinion on her as to how we should handle it.


Source.