Saint with new name? That's a bit of a bloomer (6)
I believe the answer is:
stamen
'a bit of a bloomer' is the definition.
(I've seen this before)
'saint with new name?' is the wordplay.
'saint' becomes 'st' (abbreviation).
'with' is a charade indicator (letters next to each other).
'new' indicates an anagram.
'name' with letters rearranged gives 'amen'.
'st'+'amen'='STAMEN'
'that's' is the link.
(Other definitions for stamen that I've seen before include "Flower's pollen carrier" , "Pollen-bearing organ of flowering plant" , "Flower pollen carrier" , "Manet's (anag.)" , "Male organ of plant" .)