Goddess on rug absorbed by a dodgy, sensual treatment (12)
I believe the answer is:
aromatherapy
'sensual treatment' is the definition.
I can't explain the remainder of the clue.
(Other definitions for aromatherapy that I've seen before include "healing process? That's disputed" , "Use of essential oils to instil well-being" , "treatment" , "Remedial use of essential plant oils" .)