Clearly emergencies do happen - it just so happens your illness happens tomorrow.
Yes, there are no special requirements (unless stated within your own By-Laws) that an annual meeting has to take place in a certain way. To the contrary, you can give him notice that not feeling well and, therefore, the annual meeting must be postponed.
I would give him notice asap so that he can make other plans and doesn't show up unnecessarily for the meeting.
Yes, schedule the meeting through Skype if that suits your needs better. That's certainly an option - or even a telephone conference can be used. Everyone obviously knows each other voice so there isn't a necessity of even a face-to-face confrontation.
I would contact him and state that the annual meeting has been postponed till later. That he can pick up the annual meeting information from ______ and that because of the circumstances the meeting will be held by Skype or telephone conference (initiated by you) at ________ am/pm tomorrow instead.
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