I have had instances where I really preferred to not work with a certain person all the time. I would write requirements for software, and they would test it. She wasn't a bad worker, in fact she was very good at testing, it was she didn't always know how to prioritize her findings and always seemed a half step behind.
I did ask my boss if it were possible not to be paired with this person EVERY time because she just drove me nuts. I would take a turn, of course, but just not ever time. My boss had no problems accomodating this.
I think your DH could talk to the boss and say that he is very interesting in working on the next project, but that he seems to be having an issue with Ms Bully. She seems to find fault with everything he does...If boss and others also see the same issues, please let him know, but she just seems displeased with EVERYTHING he does and he wonders if it is more some kind of personality conflict and that last time others noticed he seemed to be the outlet for all her frustrations. He would prefer to minimize the number of days he has to work with her and quite franly avoid her all together.