I disagree - her email specifically refers to LinkedIn and it being a professional networking site, not a dating site, which is how he appears to be treating it (at least in this one instance).
I don't agree with her entirely, but having read the entirety of the original offending message and her response, I have some sympathy with her (but not how's she's dealt with it or the particular accusations she makes).
LinkedIn is a
professional networking site. It should be treated as such, and as a rule of thumb one should behave as if one were in a workplace environment. If, upon meeting someone for the first time at work, your response was "wow, you're stunning", that would be wholly inappropriate in that context. And, yes it is objectification that undermines someone's professional credentials. Their attractiveness is utterly irrelevant to the situation.
Telling a friend, outside work, that they look good
is not the same thing at all.
I do take issue with some of the other points she made. Making a pass at someone is (excluding the small % of bisexual people) always going to be sexist (in the sense that gender determines your behavior) - plus probably ageist, heightist, etc depending on your personal preferences. That doesn't make it inherently wrong. "Sexism" as a criticism should only be used where the behavior is demeaning or restrictively discriminatory. I'm not sure there's any evidence of that here - if he were building
business relationships with similarly qualified men, but was only interested in her (and other women) as potential conquests or eye-candy, then that
would be an issue, but
we cannot deduce that from the evidence we have seen here. And nor could she.
On that basis, I don't think we can substantiate the sexism/misogyny accusations leveled against him.
Old men making fools of themselves around younger women is nothing new (e.g. Vince Cable) not is it evil. Doing it at work is, however, unprofessional.
Disclosure: I met my wife at work. No, I didn't hit on her at our first meeting.