This result could change physics forever

The Standard Model is -- suprise -- a model, and not a theory. Using quantum field theory, one can cook up plenty of models that extend the Standard Model, which would explain the "new Fermilab muon result" (see the recent arxiv postings in hep-ph). The challenge is to come up with a model that is "plausible", "appealing", ... by certain criteria whose explanation go beyond this comment. But one should not confuse this result with teaching us anything more fundamental about our theories: the muon g-2 is far away from exposing any fundamental aspects about our theoretical frameworks that would be incompatible with our current tools (quantum field theory and general relativity), and certainly not tackling the bigger issue which is the mathematical incompatibility between these tools -- this you cannot just fix by adding a new particle or improve the value of a certain constant.
In short, I think science journalists and communicators should pay much more attention to the distinction between "theory" and "model" these days.