"How can I disable this check from appearing all the time in Photoshop? I just downloaded the software and it's annoying to have this appear every time I want to save."
It's one of the important options when you save, so, it wll always appear, but if it is not checked, you have nothing to do. The choice is sticky. Simply ignore it and ignore the organizer if you don't want to use it.
I do not want to use the organizer software. Support is unavailable/unresponsive and all other answers from Google serach are unhelpful/do not work.
Can you post an example of a question you were not able to find the answer? Just note that it's extremely important to state which Mac OS version you are using as well as your PSE version.