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https://itch.io/games/made-with-gamemaker

There are currently about 16k games on itch that claim to be made with gamemaker. So I would say, it is fairly certain, that you are not limited to the gx site.

I am not sure how donations are considered in view of licenses. In my opinion, there is no such thing as non commercial money collection. Donations are income, you have to pay taxes and are using the the software commercially, whether you demand money for a game or only accept donations. But that is my opinion and the reality might be different for each country, what is considered commercially.