Right now it's not entirely clear what all the facts are. Perhaps she really was just fired for having an account, or perhaps she posted some things that were less-than-savoury. I think the chance that a Conservative publication would do any diligence at getting at the facts of the matter is essentially zero.
A few years ago a Conservative publication had an article that they had "proof" that Conservative accounts were banned more frequently on Twitter, based on "analysis" of the data. It took me a bit of effort to find the data, and it included shining examples of Conservatism such as the American Nazi Party. Yes, literally, the American fucking Nazi Party. It included a list of a whole bunch of other similarly minded people; I wrote down a list here: https://rationalwiki.org/wiki/Quillette#Banning_Neo-Nazis_is...
This is a very marked example, but there have been many examples where all nuance or details were left out because it was more convenient.
This is the kind of playing field we're dealing with.
Now, I'm not saying that you should trust other publications blindly – trusting anything blindly would be foolish – but trust is not binary, and generally speaking I would trust other sources more on this topic. A Conservative publication on topics like these without details are, unfortunately, not proof of anything right now and carry very little trust.
So, do I know it's a false story? No. Do I know it's a true story? Also no. Essentially a story like this is useless outside of being a lead for further investigation.