@Solaugh2423,
She doesn't have a secret or mysterious interest in you.
It's totally freaking obvious from what you've written.
If you want to date her, then ask her for coffee (ask in person). Go and have a lovely time. When it's done (because I realize that the conservative household issue must be dealt with), ask if she thinks it's possible for it to ever be more.
And see what she says.
Make all of this in person. Put 0% of it in writing, for your own sakes.
And if you feel that your parents would become violent, then seriously consider your plan for leaving the household. That may mean education, getting a job, military service, etc. And that plan could take years. Of course you wouldn't write this down, either.
But if you are gay or bi and you feel that your home would be unsafe if you were to come out, then it's in your own best interest to work toward an exit strategy.