I would remove the original wire at the ring and then add the extension wiring to the ring and splice it to the original wire and cover the splice and ring connection with shrink tubing. That way you will only have one splice joint.
If you can locate the correct female spade connector, you could replace the entire wire and eliminate any potential problems.

The male spade blade is .1875" wide and.020" thick. 4.76 mm x .5 mm.