All motors will burn out if run under load too slow for too long. Fuses won't protect you under those circumstances (I learnt that the hard way).
If you have a VFD it will try and stop you doing this by reducing the motor drive current, but DC motors don't usually have this sort of protection.
If 'things were getting hot' enough for you to notice, then you probably overdid it.
If an AC motor you should find a replacement easily enough, but if DC best start by contacting your supplier – be warned powerful DC motors tend to be more costly.
Neil