Id go to a car Junk yard, and find the existing connector, and replace it.Couldnt be more than $10 bucks,and rewire your speaker wires,for a solid connection
It's hard to tell from the picture, is it the speaker wires only which pulled out or other wires too? If it's speaker only, maybe just drill out that connector and pull a wire run through it to the speaker. Just connect the two with solder or a butt connector.