ADJ

deep, utter, withering
cold, icy
healthy
She'd developed what she considered a healthy contempt for authority
barely/thinly disguised

VERB + CONTEMPT

feel, have, hold sb/sth in
He felt nothing but contempt for them. Politicians seem to be generally held in contempt by the police
betray, demonstrate, display, show
His remarks betray an utter contempt for the truth (= are completely false)
develop
regard sb/sth with, treat sb/sth with
deserve
I shall treat that suggestion with the contempt it deserves

PREP

~ for
He has a deep contempt for racists
beneath ~
His treatment of his children is beneath contempt (= so bad it is not even worth feeling contempt for)
with ~
She looked at him with barely disguised contempt

ADJ

civil, criminal

VERB + CONTEMPT

be held in
She was held in contempt for refusing to testify

PREP

in ~