The little souvenir shop within the monastery/museum (to the right of the entrance) has got a particularly good and reasonably-priced (ijn euros, surprisingly) selection of headscarves, bags, textiles, pottery etc.
In fact, I bought 3 scarves there, 2 classically Turkish (i.e. for covering the hair, with lace trim) and one 'silk'. In other parts of N Cyprus I found the scarf selection limited, or over-priced, or imported from Italy etc.
Well worth popping into the shop duing your visit.