"I don't want to hold you hostage, but would you mind hanging around until the other technician arrives so that the two of you can sort it out,"
Well I see "I don't want to hold you hostage" meaning she is not going to. and " would you mind hanging around until the other technician arrives" asking if he minds also does not say you will stay here. If this is what was really said the Tech is an idiot for thinking otherwise.
