The wire might, probably is, enameled as most magnet wire is...so, that requires you to remove the enamel coating. Retrieve an aspirin from your medicine cabinet, crush it and then insert the wire into the little pile of powdered aspirin. Take a torch and melt the aspirin and it will remove the coating. Do NOT breathe the smoke from the aspirin.
Clean the wire end off with some acetone and then with some fine copper wire you an wrap the braided/stranded wire to the stator wire and resolder it.
David