My gf doesn’t want anyone to know abt us

Hey guys so my girlfriend and I have been dating for about a month and we’re both in high school and I’m out but she isn’t. She’s out to her friends but not her parents. We were taking about what we’re going to do for homecoming and she says she doesn’t want to go to mine and she also says she doesn’t really want people to find out about us. Am I doing something wrong?? Is she embarrassed of me or something??