All good advice so far and all good in their own way.
Loctite make a good two part epoxy glue that is recommended for metals.
I haven't used Gorilla glue on small and delicate jobs but something that I found was that it expands as it sets which means two things, you may need to use a clamp and any excess clue can be a swine to remove, as they warn on the instructions, there is no known solvent for Gorilla glue, I am sure it is just me but it has the potential to be a messy business.
All solutions cost money and if the part is not too expensive to replace that thus the route I would go down
Best regards