Well considering his past and his truama yeah i guess he's hurt reaaaaally badly ...
One cant really define ones feeling
Plus beta-kun (forgot his name) is not totally in the wrong ....cause all he knows at the moment is a guy who got pregnant by his beloved master and tried getting money out of it anf running away......plus both sides are misunderstanding each otger a bit......tho its teally frustrating and that happens in reality a lot
Childhood trauma plus he misunderstood that Dojin betrayed him(like abandoning the baby and attempting to dump the responsibility of the baby on Hyesung) ,so, he just wants to find a really good medication to change his gender(which is in fact impossible) because until now being an omega has only caused him pain and hardships(well that's gonna change once he sees baby Byul).So, he really wants to leave.

Know he feels bad and stupid for tricking him but the fact the he still wants to go breaks my heart. How hurt are you to really want to leave that badly??!!