Dear Queenie,
Recently I found out about some bad things that were done by a person with the same name as mine. I would be ashamed to have anyone think that it was me or that I have any connection to that person.
Queenie, do you think I should change my name?—Embarrassed
Dear Embarrassed,
Unless your name is unique, or at least very uncommon, I doubt that anyone would make that connection, and if they did you could explain that it was someone else with the same name.
And if you decide to change your name, you had better do some research on people with the name you are choosing, just to be on the safe side. You would not want to find yourself in the same position again (or worse) after a name change.