My guess as to what happened is that it's trying to apply an update but the files disappeared. Can you enter the following command in Terminal:
ls -l /Users/M.M./Library/Caches/Mozilla/updates/Applications/Firefox/updates
and post the results. This is a rare error. If you Google it (putting at least part of the error message in double-quotes), you get 3-4 results.
If you don't get any results, you just might have to re-install Firefox. It looks like it's expecting to apply the update but I don't see a way to tell Firefox not to do this. There's a way you can manually put the update files in this directory but it looks more complicated than re-installing, even considering the steps you would need to take to install the online banking software.
https://support.mozilla.org/en-US/questions/1154387
You can try running Firefox as another user or trying to setup another Firefox profile but if the modifications you applied to make it work with online banking is specific to the user you typically log in to, then you'd have to re-do the modifications for online banking anyway.