Is this Online Sexism?

linkedin

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“You definitely win the prize for the best Linked In picture I have ever seen” was a message sent to a female colleague by a senior partner at a London law firm.

Her response: I find your message offensive, I am on Linked In for business purposes not to be approached about my physical appearance or to be objectified by sexist men.”

What do you think? Is telling someone you like their Linked In photo sexual harassment? We would LOVE to hear your opinions.