Nick here from Shopify.
There are several payment gateways Shopify is partnered with in the UAE which you can use. You can see the full list of them here.
I'm not familiar with each of them individually so can't comment too much on what would suit you best. My suggestion would be to take a look through them and find the one you like and resonate with the best.
Hope this helps and any questions, don't hesitate!