Let's wait for the courts to do their thing, I don't think it puts his career in jeopardy, but it's definitely going to side track him and hurt the team. I expect him to be suspended indefinitely until something clears up.
Most celebrity related cases get settled out of court if he was wrong, and if he didn't do it and he's got the proof then he'll win the case. Either way unless she doesn't back down and he gets indicted for something nasty, or (regardless of the outcome) there's video evidence, like a Ray Rice incident, more than likely the league and team won't do anything more than a suspension.
Remember ex-Jay glass bum Jose Reyes was accused and still picked up by the Mets after he got released. And he isn't even that useful as a Major Leaguer. This is in regards to your other post, I don't see anything happening to his career other than in it being put on hold.