Is it OK to say, "I'm totally disturbed"? Yes, but it sounds like a Valley Girl teenager is saying it, or that it's from a song lyric.
What does it mean? It can mean "I am so disturbed by the situation that I can't stand it" - or - it could mean, "I am so upset that I am completely out of it."
Is it OK to say, "I'm totally bothered" too? Yes, but what do you mean? "I am completely upset"? "I am being bothered by others to my limit"?