My university dismissed me from a programme and the deadline for writing an appeal letter has passed so I wrote a deadline extension appeal letter.

My university dismissed me from a programme and the deadline for writing an appeal letter has passed so I wrote a deadline extension appeal letter. I've asked them to give me a two-week extension, but I am not sure whether they will accept my request. The reasons I gave for not being able to submit the letter within the original deadline are research work (I worked as a research assistant over the summer) and health issues. I have included in my letter proof documents as well. Are the reasons good enough for receiving an extension?