Ready to admit me without a cure (6)
I believe the answer is:
remedy
'cure' is the definition.
(I know that cure can be written as remedy)
'ready to admit me without a' is the wordplay.
I cannot quite understand how this works, but
'me' is found in the answer.
This explanation may well be incorrect...
Can you help me to learn more?
(Other definitions for remedy that I've seen before include "Countermeasure" , "answer" , "Cure for illness" , "Antidote" , "Curative medicine" .)