broad-minded

adjectives

incapable of being shocked
"he was warmhearted, sensible and unshockable"
is derived from
inclined to respect views and beliefs that differ from your own
"a judge who is broad-minded but even-handed"
is derived from
antonym
is similar to
showing or characterized by broad-mindedness
"a broad political stance"; "generous and broad sympathies"; "a liberal newspaper"; "tolerant of his opponent's opinions"
is similar to
free from provincial prejudices or attachments
"catholic in one's tastes"
is similar to
unwilling to accept authority or dogma (especially in religion)
is similar to
ready to entertain new ideas
"an open-minded curiosity"; "open-minded impartiality"