Don’t use that supervisor as a reference... not in today’s job market...
I didn’t list her a reference. My references are more current (Sr. Trainer, manager, Sr. Clerk/assistant supervisor). All of them see my work on day-to-day operations and I know they’ll give a good review (I asked for their permission to be references and they told me up front they’ll give a good review.
If I don’t get this job, I use it as a learning experience. It will still hurt because it would offer $2 more per hour than I’m currently making.