When drinking Turkish Coffee the sediment in the Turkish Coffee isn't meant to be drank but it's not gonna hurt you if you do happen to drink the sediment of Turkish Coffee.
Turkish Coffee is made without a filter so it's natural for sediment to occur in the Turkish coffee but before drinking the Turkish Coffee allow time for the sediment to settle to the bottom of the cup and then drink the coffee.
The sediment is okay to drink but it doesn't taste very good but the Turkish Coffee is pretty good to drink.