Cardinal framed by floozy and hotel detective (6)
I believe the answer is:
sleuth
'detective' is the definition.
(I know that sleuth is a type of detective)
'cardinal framed by floozy and hotel' is the wordplay.
'cardinal' becomes 'E' (East, a cardinal direction).
'framed by' indicates putting letters inside.
'floozy' becomes 'slut' (I've seen this in another clue).
'and' says to put letters next to each other.
'hotel' becomes 'h' (phonetic alphabet).
'e' going within 'slut' is 'sleut'.
'sleut'+'h'='SLEUTH'
(Other definitions for sleuth that I've seen before include "Holmes, for one" , "Hustle (anag)" , "Track" , "Hustle like detective (6)" , "Detective; play and film" .)