Opposition supporters say the constitution has been flouted. The president says allegations must be investigated.
Eddie Mutwe is in severe pain after being beaten and electrocuted in custody, his lawyer says.
The UAE opted out of part of the Genocide Convention meaning it cannot face genocide allegations itself.
The six-month-old died in 2017 after being hit by police deployed to quell election violence.
Rwanda's foreign minister says his country is in the "spirit" of giving migrants "another chance".
The footwear hit the president on his outstretched arm as spoke at a public rally.
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