The lady at the hotel, with the case (6)
I believe the answer is:
sheath
'the case' is the definition.
('sheath' can be a synonym of 'case')
'the lady at the hotel' is the wordplay.
'the lady' becomes 'she' (I've seen this in other clues).
'the hotel' becomes 'h' (phonetic alphabet: alpha, bravo, charlie etc.).
'she'+'at'+'h'='SHEATH'
'with' acts as a link.
(Other definitions for sheath that I've seen before include "cocktail dress" , "Case for a dagger" , "Covering for blade" , "jacket" , "Sword covering" .)