Is it normal for my girlfriend to do this with her married, older male coworker? am I being paranoid?

Anonymous
first, she sees him in the middle of the mall while we were sitting down, and she gets up to him, exclaims his name, says "I asked about you yesterday" - extends her hand to shake his hand and goes like "can i say hi to you?" and then he says he passed his exam, so she says i'd hug you if i could but i'd get fired cause of corona- so here's a virtual hug! she DM'ed him while he was traveling, and said "we miss you in the office!!! how are you?"- he says he isn't keen on coming back, so she said "well we're keen to see you, so don't get stuck there or something". That's besides the fact that he responds to all of her instagram stories.
I found out that they exchanged music together via e-mail, and that one day he goes like "why do you look depressed?"... she said "i need some TLC" (which stands for tender loving care LOL). am i being paranoid?
Is it normal for my girlfriend to do this with her married, older male coworker? am I being paranoid?
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