(verb) "beating around the bush", but with the intention of very gradually revealing something unpleasant; a roundabout, indirect approaching/avoidance of a difficult topic of conversation; (noun) a gradual revealing of some fact or opinion that one expects the listener not to want to hear
Megan: ...I had a great time that day I called at the last minute to break our date. I felt really free and relaxed. Suzy said I needed to do what was right for me..."
Guy: Stop slow walking me, Megan; are you breaking up with me?