You are not a pervert. It's possible you were born with a gender identity that is at odds with your body sex.
You can still be normal and be transgender. There is nothing abnormal about being transgender. We live, we love, we work, we smile, we frown, we have friends, we have acquaintances, we have lovers, we have husbands and wives. We belong to churches, synagogues, clubs, political parties, and other organizations. We have likes, dislikes, preferences, interests, hobbies, passions, and hang-ups.
We do all the things that everyone else does. If that doesn't make us "normal" I don't know what does.