I don't know how things work, but I would have thought that if a government sector organisation wanted to employ someone who is currently a Qatar-private sector employee, that it might be in their interests to let the doctor go.

Wouldn't doing a 'favour' like that earn them some brownie points? i.e. wasta? i.e. if they scratch their back, at some point in the future, they can get the bosses in the government sector to scratch their back in return?

Or doesn't it work like that? I'm genuinely curious about how it works, if anyone knows the answer to that.