Church is sheltering right boy or girl (5)
I believe the answer is:
chris
'girl' is the definition.
'church is sheltering right' is the wordplay.
'church' becomes 'ch' (common abbreviation).
'sheltering' is an insertion indicator.
'right' becomes 'r' (common abbreviation).
'ch'+'is'='chis'
'chis' enclosing 'r' is 'CHRIS'.
'boy or' acts as a link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for chris that I've seen before include "Diminutive male or female name" , "-- Bonington, British mountaineer" , "-- Martin, Coldplay lead singer" .)