Thutmose II's page

Sounds like a Ranger to me. Full BAB, no gods required, Favored Enemy: Outsider (evil) fills the "Demon Hunter" prerequisite, scouty, light armored, investigative (track, survival, etc).

Plus they can go two weapon fighting and use the twin blades of azzinoth.

Animal have INT of 3..

If it has an ability score like INT 3, its smart enough to know being misused by its handler, in its head its probably made the connection of "When handler send me out, I get hurt, I don't like being hurt". Many animals tend to have an INT of 2. A single point into INT makes it so it can learn feats and skills that are normally far too "complex" for its mind; think of a primate animal companion learning Rapid Reload, seems silly but it is something that a primate could learn with INT 3. It could also learn "complex" martial arts styles, skill focus feats, among other things. If the player has been kind afterwards to the animal companion and is only doing it for reflex-based traps, I suppose the animal companion could almost see it as a "game".

I could understand if the Inquisitor has done it a total of three times within fifteen sessions if he was given no other option. However if this is regular habit, it might be seen as "evil".

As a GM, if you are not comfortable with the behavior make it harder for the player, as it seems as though the handle animal checks are getting "strangely" harder to make like the animal companion is becoming weary of its handler. If that subtle push doesn't get the player's attention, you may want to start a tally system to see how many "evil" vs "good" actions that the player has done to see if an alignment change is in order.

I am not familiar with your player, so I cannot say if their actions are "good" or "evil".