If I’m repairing something like my washing machine I usually just hardwire stuff to the board so there’s no waiting for parts. Shopping around for connectors can be a pain but the important things to look are are pin diameter and pin pitch. Whenever I order I always get a male and female connector because the terminology doesn’t seem to be consistent across connector designs. You’ll also need a pinning tool for whatever style of connector you get, unless it uses solder cups or something.