As for the angry deformed woman, well, Tuvok is as far as he can tell a good officer with good judgment. And a court-martial for striking a crewmate seems reasonable enough, if perhaps a bit harsh. (Normally Laurence himself would extend a certain benign ignorance to such disputes, if the principals did not go so far as to allow the conflict to affect their work. But he assumes that this case was bad enough, if Tuvok believed it so.)
The question, then, is why the captain disagreed with Tuvok.
His slight sense of unease at how the crew is managed is growing. He'd done his best to put away his doubts about having a woman in command before-- after all, he is in an unfamiliar time with strange customs-- but this seems like a clear error on the captain's part. Could it be due to an unsuitable temperament? Too much sentimentality towards her fellow?
Nevertheless, he resolves not to interfere. An officious crewman cannot possibly help. The only thing worse than a poor captain is a mutiny, and he has no desire to make Voyager's already dire situation worse.