What is tamur (ingredients)?
It's dates, تمر - see Google translate (click to have it spoken - and note the primary translation is wrong, but the right alternate translations are beneath). I do not speak Arabic, but MandoMando confirms this in the comments, and this would be consistent with desserts in that general category.

That said, it's also surprising - given the bright colors, I'd have expected there to be plenty of sugar-starch gel like in Turkish delight; it's hard for food coloring to cover up the darker color of dates if they're providing the bulk of the volume. Given that the food coloring isn't listed, it sounds like starch was left off the ingredient list; I would've guessed it'd be corn starch, but MandoMando suggests it may be something else - but still probably gluten-free. (Not a guarantee, of course.)

And tahina is tahini, yes - it's even mentioned as an alternate name on Wikipedia.