From my limited experuence, Jordan seems to be the closest example of a democrcy in the Arab world I know. Sure, it is by no means democratic when compared to Western democracies. But they do not use totalitarian and draconian measures to surpress the population on a regular basis. Nor is Jordan an outright relogiously motivated chauvinist regime. And compared to other, more democratic nations like Tunesia or Marocco, Jordan is extremely stable. Which is a value in itself.

But this is just my impression as an outsider.

Plenty of democratic countries have monarchs. Most of Europe still has monarchs, because they're constitutional monarchies -- which is a fairly common democratic form of government.

https://en.wikipedia.org/wiki/Constitutional_monarchy

What matters is not whether there is a king, but the details of how the specific powers are allocated between the different parts of government. Sweden is also a constitutional monarchy, with a king.

Two of European monarchies are also peculiar in that they are elective: the Vatican and Andorra. (The Vatican is also technically a theocracy)