I take prozac, does it make me delusional?

I just started taking prozac because I am an overly sensitive person who delves into sorrow far too often. I grieve everything, everything is so intense, life is sometimes unbearable. I started the medication because I was having obsessive thoughts, because I can’t move on without solving anything that I see as bothersome in my life. It helped me a lot. But now I’m thinking about what others think of me. Some new people around me reject being my friend because I’m on it, some of my friends say I shouldn’t do it, etc. What’s your take on this?