We applied for a trademark, and it almost got accepted, but then the now-defunct Moneero company got in the way. In our discussions with the Software Freedom Law Centre, who defended us against Moneero's threats, we learnt that there is a thing in trademark law (US specifically, but many other countries have a similar law) called the doctrine of equivalents. Basically this says that you can't break trademark restrictions by using a foreign word. For example, you can't register "Mela" as a trademark for a computer company in the USA, because that's the Italian word for apple:)
The upshot of this is that Monero is, most likely, actually impossible to trademark. Anyone that tries to register Monero as a trademark will be challenged by us on the basis that Monero is a foreign word (Esperanto) that means coin, and you couldn't register "coin" as a trademark. We can challenge this even if we only discover a trademark registration after the fact.
Because of this there is, or at least should be, no threat to any entities that use the Monero name, because it simply cannot be trademarked and used to threaten individuals or companies.