The sort of person to rip off the Virgin Mary? (5,5)
I believe the answer is:
prima donna
'the sort of person' is the definition.
'rip off the virgin mary?' is the wordplay.
'off' is an anagram indicator.
'the virgin mary?' becomes 'madonna' ('Madonna' can be a synonym of 'virgin mary').
'rip' with letters rearranged gives 'pri'.
'pri'+'madonna'='PRIMA DONNA'
'to' is the link.
(Other definitions for prima donna that I've seen before include "Very self-important person" , "lady centre stage" , "opera star - with 2d" , "Diva" , "Leading lady, proverbially temperamental" .)