high speed on a/c fan switch burns out switch; high is on a separate wire ,is there a repair for this problem?

there is a connector on the high speed wire that was melted and caused it to lose the connection. When it was connected even with an inline fuse it burned out the switch. Replaced the switch and unpluged the hi speed wire until I can trace where the high wire goes from under the dash.

Cut out the failed connector and hardwire that circuit .. Blower motor is still suspect!