1
general::
see BONE TO PICK., An unpleasant issue or grievance that needs discussion. For example, Concerning the room assignments, I have a bone to pick with you. This metaphoric term alludes to a dog worrying a bone. [Early 1500s]
American Heritage Idioms
2
general::
Phrase(s): have a bone to pick (with someone)
to have a disagreement to discuss with someone; to have something to argue about with someone. • Hey, Bill. I’ve got a bone to pick with you. Where is the money you owe me? • I had a bone to pick with her, but she was so sweet that I forgot about it.
McGrawhill's American Idioms And Phrasal Verbs