Hi, This isn't a Desert Finch. Even a juvenile female shows some black in the Tertials, and whitish tail feathers, I have seen many first year females, they tend to show pale lores and never even a faint wingbar as this bird shows, the jizz is just wrong as well.
I can't say what the bird is, but I am fairly sure it is not a Desert finch. As for Sinai Rosefinch, well the range is from southern Israel and Sinai,s JOrdan, N Arabia, and there is a race in Afghanistan and east all the way to china. The wingbars on this bird and the white undertail fit Sinai Rosefinch, but the image is a bit hazy to determine exactly what is what, Good luck.