Well you can’t undo it so it is what it is. Nothing good comes out of excessive drinking and you won’t be the first person who sends drunken texts. Usually recipients know these are drunken texts without you even saying. So she likely knows it and won’t make a big deal out of it. Just a lapse of judgement under the influence.

Has she ever replied to you? If she is your friend she likely will keep it private and if not it’s just a mistake. Just tell him you were very upset and lost control and it won’t happen again. Then move on from it.