Is it possible to refuse a gift? I can't really think of a scenario where refusing drillers would make sense, but it might with specialists.
I'm currently sending a hypnotist to a base with three captured specialists. Two of which I want, but the third, a king, doesn't fit with my defensive strategy. There's no way that I know to only recruit the two I want without lowering all my shields because of the king. So, I was going to gift the king to another player. Which got me thinking is there a way he could stop this- other than gifting it on himself if he didn't want it?