Member has desire: see her excited about cold dairy product (9,6)
I believe the answer is:
limburger cheese
'dairy product' is the definition.
(type of cheese)
'member has desire see her excited about cold' is the wordplay.
I cannot quite understand how this works, but
'member' could be 'limb' (limb is a kind of member) and 'limb' is found in the answer.
'desire' could be 'urge' (I've seen this before) and 'urge' is present in the answer.
an anagram of 'see' is 'ees' which is located in the answer.
'about' could be 'c' (abbreviation for 'circa') and 'c' is found in the answer.
an anagram of 'her' is 'rhe' which is within the left over letters.
No letters remain.
This explanation may well be incorrect...
(Another definition for limburger cheese that I've seen is " dairy produce".)