I guess this will depend on what’s in her employment agreement.
I think of an online presence as private property, being asked to relinquish that without a court order is suspect.
I wonder if they or the person pictured asked her to remove it first?
From the terms of service...
You will not share your password, (or in the case of developers, your secret key), let anyone else access your account, or do anything else that might jeopardize the security of your account.
The company I work for decided that senior management on up needed to have LinkedIn accounts and went about making them for anyone that didn't already have one. When they tried to make one in my name they found out I already had an account. They requested my credentials for some still unknown reason and I refused. It got pretty tense, but I decided my online presence was mine and I wasn't going to surrender it even if it meant termination. I felt that if they had a problem with the content in this account they could bring it to my attention and I would decide if I was willing to change it to remain employed with them.
I guess they decided I was beneficial enough to the company that they could overlook it because they eventually dropped the subject.