1
general::
Be receptive to, attracted by, or pleased with, as in He'll take kindly to the criticism if it's constructive, or Henry won't take kindly to your stepping on his newly planted grass. This idiom uses kindly in the sense of "in a pleasant or agreeable manner." [c. 1800]
American Heritage Idioms
2
general::
Phrase(s): take kindly to something
to be agreeable to something. • My father doesn’t take kindly to anyone using his tools. • I hope they’ll take kindly to our request.
McGrawhill's American Idioms And Phrasal Verbs