2 hour layover in Madrid

hi! i’m flying from marrakesh morocco to budapest hungary on sunday. i will have a transfer in madrid. it will be a 1 hour 50 minute transfer on paper but i’m strating to get worried. i won’t have checked in bags, only a carry on. but the tickets were bought separetely since its 2 different airlines. and i’m flying in madrid from a non-schengen country (morocco) to a schengen country (hungary).

will this not even full 2 hours be enough? i dont want to miss my flight. but the tickets are already booked and i have to take these i dont have any other option. please cam me down and tell me that everything will be all right because i have mo other option and i don’t want to spend my entire time in morocco worrying about it.

thanks!