Turkish hostelry welcomed by pilgrim β a retreat (6)
I believe the answer is:
imaret
'turkish hostelry' is the definition.
(Turkish hospice or inn for travellers)
'welcomed by pilgrim a retreat' is the wordplay.
'welcomed by' indicates the answer is hidden within the clue.
'IMARET' is hidden in the letters of 'pilgrim a retreat'.
(Other definitions for imaret that I've seen before include "Turkish inn" , "Eastern inn" .)