Tentatively hand great drug to female relative (13)
I believe the answer is:
granddaughter
'female relative' is the definition.
'tentatively hand great drug' is the wordplay.
'tentatively' indicates anagramming the letters.
'hand'+'great'+'drug'='handgreatdrug'
'handgreatdrug' anagrammed gives 'GRANDDAUGHTER'.
'to' acts as a link.
(Other definitions for granddaughter that I've seen before include "Relation" , "gives shop-owner's description of Nell Trent" .)