According to Western media, citing Russian officials, Russia has somewhat transparently threatened to attack SpaceX satellites.
September 19, 2022
A Russian representative named Konstantin Vorontsov issued the warning last week at a United Nations working group meeting on reducing space threats. [...]
“We would like to underline an extremely dangerous trend that goes beyond the harmless use of outer space technologies and has become apparent during the events in Ukraine. Namely, the use by the United States and its allies of the elements of civilian, including commercial, infrastructure in outer space for military purposes,” [...]
Vorontsov then issued his veiled threat by saying: “It seems like our colleagues do not realize that such actions in fact constitute indirect involvement in military conflicts. Quasi-civilian infrastructure may become a legitimate target for retaliation.”
On the other hand, Elon Musk, who is the SpaceX CEO has refused to block any Russian sites over his network and said he is a "free speech absolutist".
Elon Musk can surely put up twitter polls on his peace initiatives that call for Ukraine's neutrality (and recognizing Russia's claim to Crimea), but I'm not sure that would be enough to mollify the Russians with regard to his satellites' use by Ukraine. According to PC Mag
it’s no secret that the Ukrainian military has also been using Starlink to send encrypted messages and to control drones that can attack Russian forces.
So how could SpaceX prevent military use of their satellites to avert the Russian counter-action threat, while maintaining free speech absolutism?