Turkish / Anatolian prayer rug, yes. Some here will be able to tell you from where in Turkey.
If there is a great discrepancy between an almost garish purple on the back, and a purplish gray on the front of the rug, this my help dating, since it may be an early synthetic dye that was used in Turkish rug making only for a shortish period.
Definitely old.
Not sure whether warps are wool, could be cotton, can't see from photo.