dnd 5e – Could a young dragon be coerced into captivity?

So, my players and I are running Sunless Citadel (5e). Some of you know it, the white dragon that was captured by kobolds and worshiped by them. Then he escaped to another part of the citadel and hides there. The module says, and I quote:

The snake finds its current situation superior to its position as the mascot of the kobolds. It is hostile to those who enter this chamber.

However, my players were very slow and methodical in this, and I did not want this to be another vagabond fight, so I somehow let them make their way into the room, using some dead rats that they had collected earlier as food for the dragon Now the dragon eats, and the player is trying to get her back.

Honestly, I'm not sure what to do. On the one hand, the players have been extremely slow and patient, and I feel that I should reward that kind of dedication. On the other hand, the dragon realized that they were working for the kobolds, and is naturally distrustful.

This is a bit vague, I admit, but … the dragon would go with them? I mean, he only has an intelligence of 5, he can hardly speak dramatically. As such, one would think that he would fall into such traps, because he literally does not know anything better.

What you think? Would a dragon go with them, or would he firmly refuse?