Ozzie -- I'm sure Jesus was in touch with his "feminine" side, beard or no beard.
If Jesus had no beard, surely the Scribes and Pharisees would have mentioned it as a point against him -- "look, there's that man who violates the law by shaving off his beard and mustache".
Also on the night of his betrayal, Judas wouldn't have had to kiss him to identify him to the authorities. He simply could have told them -- "go to the garden of Gethsemane and look for the clean-shaven man in his 30's".