Musk has already admitted that providing satellite services to countries like China can become a problem [3]. Countries that don't want StarLink and don't have the capabilities to take out LEO satellites might start to team up with China, Russia and other countries that do to protect their sovereignty.
Of course there's no way to prevent hardware that someone managed to sneak in from connecting to the satellites. Those devices will all need to come from the black market though, severely limiting the reach and future business StarLink might have in such a country.
[1]: http://www.gard.no/web/updates/content/26690148/ban-on-use-o...
[2]: https://en.wikipedia.org/wiki/Satellite_phone#Countries_with...
[3]: https://www.businessinsider.com/spacex-internet-satellite-co...
Has any nation ever successfully outlawed satellite reception? The roofs of buildings even in nations like Iran and KSA are studded with dishes.