Do you know the name of the granite? Or could you post a close-up of the granite? It would make it easier for someone to reply.

Another option is the timeless subway tile pattern.

You can go many different directions. It would help to see the stone better. Both ideas above are good. Attached are a variety of options. Since you're kitchen is not totally contemporary and has a touch of a traditional feel to it. You can do subway, but to maybe bring in a darker element from your stone and enhance your hardware you can do a metal liner like below. It depends if you want your back splash to blend, to enhance the colors in your stone, or to pop.

Please, use some color and don't be predictable like subway tiles or a horizontal feature strip down the middle. Spend a few extra dollars here as you have little space to fill. Have fun.
PS. I would avoid putting a fancy back splash there but instead find a cool shelf made of stainless steel and glass and mount it in that big space above the sink.

i love red, not cherry but more burgundy, everything else seems too bland, would love to do the shelf, thankyou to all for the great advice

You could pull i that burgundy/rust color with a glazed color tile (Pratt & Larson comes to mind because they have SO many color options). You could stick with the simpler tile/pattern like an oversized subway or go with one of the interesting patterns like the Filigree or waterfall shown here, in say the plum or root color. I love the shelf idea, as it would give you a spot to put soap, lean a framed image, place a little dish for setting jewelry while washing up, store sponge, etc.