I hate to say this, because I think Wilson did a good job, but I hope we don't see him in S2 aside from his short.
DIS desperately needs to break out of its "small quadrant syndrome." I mean, it's nothing new at all in Trek for the main cast to do everything. But normally we had guest stars each week to liven things up. DIS Season 1 didn't introduce anyone above extra level past its fifth or sixth episode. I mean, I understand in serialized stories recurring guest characters are needed. But only if there's a story role for them. Mudd's second appearance in Season 1 worked well from a (standalone) story perspective. But continuing to use Cornwell through the end run when any old admiral would have done did not. It's a friggin big galaxy - we need to have some sense of awesome scale to make the show not feel like a frackin stage play.
I'm pretty sure I've read Season 2 will only have 13 episodes, not 15. I don't think there's really time for another "return of Mudd" given such a short schedule.
If he does show up I expect he's going to be involved with MU Georgiou somehow though.