I think it's really natural to hate, or get upset at, things that remind you of bad experiences or people who really hurt you. I, personally, get sad hearing the name of my beloved dog (who passed away a little over a year ago) or seeing dogs of the same breed. It's like a reminder that she's gone.

Is it possible for you to notice and focus on the physical differences of the person with the name on the screen? Maybe you could try to tune out the person's name and think of them only by their character's name (if their real name is the problem), or create a new name for the character if that's the issue.

I hope you find something in the responses you got that you can apply to your situation to help you deal with things.