Pilgrim's greeting, welcoming a couple of judges (5)
I believe the answer is:
hajji
'pilgrim's' is the definition.
(hajji is a kind of pilgrim)
'greeting welcoming a couple of judges' is the wordplay.
'greeting' becomes 'hi' (hi is a kind of greeting).
'welcoming' is an insertion indicator (in sense of 'inviting in').
'couple of' shows that letters should be duplicated.
'judges' becomes 'j' (this could be a standard abbreviation of which I'm unaware).
'j' duplicated is 'jj'.
'a'+'jj'='ajj'
'hi' going around 'ajj' is 'HAJJI'.
(Another definition for hajji that I've seen is " Pilgrim".)