Allow a daughter to go to American institute (5)
I believe the answer is:
admit
'allow' is the definition.
(admitting is a kind of allowing)
'a daughter to go to american institute' is the wordplay.
'a daughter' becomes 'ad' (I've seen this in other clues).
'to go to' says to put letters next to each other.
'american institute' becomes 'mit' (I've seen this in other clues).
'ad'+'mit'='ADMIT'
(Other definitions for admit that I've seen before include "Grant entry to" , "Confess - acknowledge" , "Confess and permit entrance" , "Fess up" , "receive" .)