Enquire too intrusively, holding obvious pose, leaning (10)
I believe the answer is:
propensity
'leaning' is the definition.
(I know that leaning can be written as propensity)
'enquire too intrusively holding obvious pose' is the wordplay.
I cannot really understand how this works, but
'obvious' could be 'open' (similar in meaning) and 'open' is located in the answer.
'pose' could be 'sit' (synonyms) and 'sit' is present in the answer.
'enquire' could be 'pry' (prying is a kind of enquiring) and 'pry' is located in the leftover letters.
This accounts for all the letters.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for propensity that I've seen before include "Inclination; tendency" , "Bent" .)