Gardener’s supplier visits island accommodating daughter (8)
I believe the answer is:
seedsman
'gardener's supplier' is the definition.
(someone supplying seeds)
'visits island accommodating daughter' is the wordplay.
'visits' becomes 'sees' ('see' can be a synonym of 'visit').
'island' becomes 'man' (the Isle of Man is an example).
'accommodating' indicates putting letters inside.
'daughter' becomes 'd' (genealogical abbreviation).
'sees'+'man'='seesman'
'seesman' enclosing 'd' is 'SEEDSMAN'.
(Other definitions for seedsman that I've seen before include "Supplier of nursery" , "Broadcaster" .)