1. People having wierd fetishes, like animals or foot fetishes, and they have other people or animals embrace them, but never tell anyone but the strangers they have embrace them, you know?
2. People who are incest, who keep it "in the family",
3. Old and Young people, who like to keep their relationship on the Down Low,
4. Cheating (this example is usually one of the largest cases where you see most people not wanting to tell anyone they've cheated, but this has two parts, 1. the person cheats with someone of the opposite sex, 2. they cheat with the same sex. Im more than likely going to use just part 2, but if the readers who comment would like it, I'll do part 1 as well.)
These are just a few and I'll more than likely use more than these as time goes on, but if you guys like these examples, please comment and I will use them. If you can think of anymore that are like these, or you think should be in the story, please feel free to tell me about them. Thanks :)
Ultimately it's up to you but I think you should change it. It will give you more to write about and you could still write about the closet-case stuff.