Yes, we allow you to post anonymously, so we should also allow you to make a pen-name character. This can be useful for allowing a person to discuss controversial things without impacting their reputation in general.
But please don't make a new account in this particular case, as this amount of downvoting is extremely small, and trivial to undo--- either delete your answer, or answer a few other questions to zero out the rep loss.
If you just make a new account, you still need to do these things to get the small amount of rep for priviliges.