Pet in restraints that have them on their knees, leaning forwards, maybe suspended a little?
They're struggling and resisting, but someone is rubbing fingers on their head and they just barely lack the range of movement they would need to stop them
All that tugging against the restraints dies off steadily with each stroke of their hair. The pet's doing their absolute best to keep it up, but their pacification is inevitable - biological, even. They can't even fume about it for very long.
When their eyes are lowered, and their breathing slow, they're left alone again. They might find that fire again, start to yell and fight, but when all it takes is a couple minutes of gentle attention to calm them down, what are the odds that they'll be able to get anywhere?