Frantically edit my e-mail, without delay (11)
I believe the answer is:
immediately
'without delay' is the definition.
(thesaurus)
'frantically edit my e-mail' is the wordplay.
'frantically' indicates anagramming the letters (I've seen this in other clues).
'edit'+'my'+'e'+'mail'='editmyemail'
'editmyemail' with letters rearranged gives 'IMMEDIATELY'.
(Other definitions for immediately that I've seen before include "Straight away" , "Right now" .)