I really doubt there will be any divorce between Wills and Kate. Even if their marriage is over privately they would still "act as if" in public. The future of the Royal Family is hanging by a thread as it is and if they were to separate I don't think it would last much longer, I reckon its imperative that they stay married and if Kate ever wants to see her son on the throne she will go along with it. Personally I am not a royalist and if they folded the operation I'd be in favour of that.
I think she's been very unwell and most likely has had something like a temporary stoma while she recovers from her surgery and has been waiting until that was reversed before she feels able to be seen out and about again.
If I saw her in a farm shop or anywhere yesterday, I wouldn't have taken her photo, how rude would that be?