Can CiviCRM be quickly setup in a cloud so that it's primary function is to distribute benefits (cash, food, etc) with user interface in Turkish?
you would have to check how complete the turkish translation is. It seems we have achieved 100% translated, but can't judge of the quality of the translation.
They are various hosting providers that can offer you to host. We do host on our own servers, so don't have a first hand experience on what they offer and it is not a question that fits the SE format, but I can mention that a nice community member is fast at replying and has a lot of experience with civi: hershel, you can find more on civihosting
and this page lists other providers, that are all active in the community: https://civicrm.org/hosting-providers