Devilish type established in bishop's place, male showing feeling of confidence (4-6)
I believe the answer is:
self-esteem
'feeling of confidence' is the definition.
(feeling confident about oneself)
'devilish type established in bishop's place male' is the wordplay.
'devilish type' becomes 'elf' (magical creature).
'established' becomes 'est' (abbreviated used in shop signs).
'in' means one lot of letters goes inside another.
'bishop's place' becomes 'see' (see can mean an area with a cathedral and bishop).
'male' becomes 'm' (common abbreviation).
'elf'+'est'='elfest'
'elfest' going inside 'see' is 'selfestee'.
'selfestee'+'m'='SELF-ESTEEM'
'showing' is the link.
(Another definition for self-esteem that I've seen is " Confidence in one's own abilities and worth".)