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Playboy image from 1972 gets ban from IEEE computer journals
(arstechnica.com)
This is a most excellent place for technology news and articles.
"Her" or "their" are both perfectly correct English grammar. "Their" has been gender neutral since before Shakespeare. It can be used to refer to someone or something gendered or not. Learn English before you correct them for something inappropriately.
The shoulder belongs to them, and they are a woman, so it really doesn't matter in this informal setting.
Language is about being able to communicate, not whatever trip you're on.