They should in theory speak with HR.
They could call you in for a formal meeting to discuss. Ask questions and for you to answer them.
They should then weigh up the risks to their business, and how they can mitigate said risks, and if any damage has been done via the media.
They should look at the facts. Not opinions and any other mitigating circumstances.
Once they do this, they should adjourn to make the decision and review all the evidence they have.