It will be really loud. Besides the manager, school lunchrooms are notoriously loud.
But, I'd encourage you to try it anyway--as humans, we just don't always get our first choice, that's life. If it ends up affecting your health, quit then, not preemptively. Why?
1) because it's important to try
2) because your mom will more likely help you with jobs in the future if you try what she finds
I wouldn't stop searching for something else in the meantime though. I would think this would be a difficult job for you.
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So you know who just said that:
I am female, I am married
I have two children (one AS and one NT)
I have been diagnosed with Aspergers and MERLD
I have significant chronic medical conditions as well