Interviewer said I was a better fit for another role. Should I convince them otherwise?

As the title reads, I went to an interview for a specific role and was told that I was a better fit for a different role; however, there was no immediate opening for that role. But the role I was applying for had an opening. I am desperate for a full-time entry-level job. The reason the person said I would be a greater fit for the other one was that my previous job involved more structured tasks versus multitasking, which is what she is looking for. I guess the way I answered her question also made her think that way. Now I am thinking if there is a way for me to convince her otherwise and to give me a shot at the coordinator role instead?

Interviewer said I was a better fit for another role. Should I convince them otherwise?
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