He has to get the shots off. He could catch her, sure; but if he doesn't, then what? And your gifs showing boxers fighting a boxer with their hands dropping to throw a punch means nothing. She shouldn't be foolish enough to throw a punch.
He would catch her, forget could. Showing that he has the power to backpedal and knock someone down means nothing?
Would she be able to beat Rigondeaux (5'5 122 pounds) he's one of the quickest, fastest and most elusive fighters in the world, ontop of that he's a southpaw.

Let me guess, she'll just grab him.