Rogue president entertaining a streetwalker? (10)
I believe the answer is:
pedestrian
'streetwalker?' is the definition.
(someone who walks on the street)
'rogue president entertaining a' is the wordplay.
'rogue' is an anagram indicator (letters go rogue).
'entertaining' indicates putting letters inside.
'president' with letters rearranged gives 'pedestrin'.
'pedestrin' going around 'a' is 'PEDESTRIAN'.
(Other definitions for pedestrian that I've seen before include "Walker; prosaic" , "he goes for a walk" , "not very fast" , "wearer of leather?" , "Person walking" .)