1
general::
Phrase(s): sit well with someone
to be acceptable to someone. • Your explanation of your absence doesn’t sit well with the president. • The whole affair didn’t sit well with the manager.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
Please, fit or suit, be acceptable to, as in I don't think that explanation sits well with the headmaster, or His sense of humor does not sit well with this elderly audience. [Early 1700s]
American Heritage Idioms