Oh, poor Kim.

Well, let's look at what we do know:
-Amy Dudley died.
-She died in Cumnor Place.
-On the day of her death the servants had been sent to a local fair.
-People who would have benefited by her death include her husband Robert (possible aspirations to marry the Queen), William Cecil (looking perhaps to blackening Dudley's name) and the Queen herself (though I don't seriously believe this).
-Amy was ill before she died.
Anything else we know for a certainty?