[user104658]

So no, they haven't posted what she actually said in the messages, thus making it impossible to form an opinion on the appropriateness of the response.

This could genuinely be anywhere on the scale of "worryingly unjustified and draconian" to "understandable to give her a verbal warning". She "commented" on something. What were her words. What was her comment. That is crucial for any understanding of this - otherwise it's just typical DM bait/outrage porn.