What livestock do you have in the tank?
Many fish can live easily for two weeks without feeding. However there are some that must be fed every day, or sometimes more that once a day.
For example, a tang can usually find a lot to graze on in the tank, so it might be able to go for weeks without a formal feeding. Anthias damsels are a different story, ideally they should be fed at least once a day and several time a day is better.
I have often been away for 2 weeks, not done anything special, and everything has been fine. Although if possible, have someone come in once or twice during that time to check up on things.
Where do you live? Maybe there is another local reef keeper you can have check up on your systems, and you can check up on their system when they are away.
Lastly consider that your trip is for medical reasons. It's quite possible that the recovery for that will take longer than expected.