At home with doctor and a deity (5)
I believe the answer is:
indra
'deity' is the definition.
(Indra is an example)
'at home with doctor and a' is the wordplay.
'at home' becomes 'in' (similar in meaning).
'with' means one lot of letters go next to another.
'doctor' becomes 'Dr' (synonyms).
'and' means one lot of letters go next to another.
'in'+'dr'+'a'='INDRA'
(Other definitions for indra that I've seen before include "Hindu god of the weather" , "Hindu god of rain and thunder - drain (anag)" , "Deity" , "One responsible for rain" , "Hindu king of the gods" .)