Name of connector that connects wires to washer drain pump
I know this is not the answer you're looking for, but I'd just splice the wire back together unless you have a reason to think the connector itself was part of the problem. Someone here may be able to tell you the general name of the connector, or maybe the exact style or even a part number, but you could spend a long time finding one, and possibly for more money than you think that small thing is worth. 

Also, many connectors of that sort require a tool to insert the contacts into the plastic housing. You don't have one of those, so unless you get a connector with leads attached you still have a problem. And then, what connects to the other end? A different connector?

If it were me and I was forced to replace the  connector I'd check out the appliance repair shops or someone junking a used machine. I'd also try to determine what happened to the wire to assure myself that it was not going to happen again after the repair.