Is a friend you can't be yourself around a friendship worth keeping??

Now I do love her, but I just cannot be myself around her. (And I have tried) she's very religious and sheltered, where I'm the complete opposite. So I can't swear around her (that's fine, a bit hard but it's fine) but she's also very homophobic (I'm bisexual, but she doesn't know that) and I just can't be myself, and all of our conversations are so dry:/ what do I do??