Tough to know exactly what's going to happen. Everything Hud has said publicly is that he's happy here, but it's clear given his personality that he has dreams of moving up the coaching ladder in the future. If that happens now will depend on where he sits on the list of candidates for each job and whether those schools can offer him what he'd feel is a better situation than his current position.
Personally, I'd be a bit surprised if he left for a non-SEC job right now. (He grew up near Starkville and has always been a Mississippi State fan, so I believe that's still his dream job.) He's won with a mix of returning players and his own newcomers this season. He built a program while at North Alabama, so I'd expect that he could do it for the Cajuns, too.
This has been a historic season for Cajuns football. And the next few weeks will be huge for the immediate future of the program as we wait to see whether Hud is on the move.