Instead of wondering if something is normal, ask if it's harmful.
Dressing up as an anthropomorphic animal character isn't normal, but it makes a lot of people smile.
Being exceptionally talented isn't normal, but it sure offers a way to enrich your life as well as the people you care for.
To hell with normal. To hell with being afraid of being called weird. Furries figured this out decades ago. Many anime fans and gamers, too.
Yet, I hear people ask things like, "Is it normal to feel the way I do?"
I dunno.
Does it make your life harder? Then you might want to do something about it. Does it cause harm to others? Definitely do something to correct it.
But to cry when you watch movies? Or to want to cuddle so much that you lose any interest in actually having sex? Or to hate the world we inherited so much that it hurts, and so you channel it into helping others suffer a little less?
