The spy doesn't have faith in this man and whoever his boss is when they have already made one mistake and turned a job that should last two weeks at most into a job that has lasted two months with no end in sight.
If not for the fact that she wouldn't be eliminated for knowing too much, she would have run away, considering how much she doesn't trust this man and his boss.
She could guess who the man is working for and what their purpose is. She could guess this based on who their target is.
Their target is the Golden Hammer gang, so her boss is likely to be a gang or a noble who is planning to bring down the Golden Hammer gang.
If it is a gang, then it is likely that the gang she is working for is one of the two neighbors of the Golden Hammer gang. And if her suspicion is right, then their plan is to put someone like her on the inside of the gang to facilitate an external attack.