Arrest you on suspicion of paying for sexual serices, get access to the CCTV from the management company of the building which probably will show you entering the apartment of a sex worker. So no, i doubt they will have to "dust your mickey for fingerprints". I doubt it would be as straight forward as denying everthing and walking off, and we are all very brave when haven't been in that situation but i for one would probably look as guilty as sin if was was similarily confronted.