Parts of Algiers have nothing but women's quarters (8)
I believe the answer is:
seraglio
'quarters' is the definition.
(seraglio is a kind of quarters)
'parts of algiers have nothing but women's' is the wordplay.
I cannot quite see how this works, but
'of' could be 'o' and 'o' is found in the answer.
an anagram of 'algiers' is 'seragli' which is within the answer.
No letters remain.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for seraglio that I've seen before include "Living quarters for females in a Muslim household" , "Gaoler is found in kind of harem" , "female quarters" , "I've made a mistake!" , "Harem - or silage (anag)" .)