If it involves Weeping Angels, there's a likely chance that the death will be caused by their usual means of killing - trapping victims in the past and feeding off of the potential energy of the years that the victim would've lived in the present.
My guess is that Amy and Rory somehow end up in that situation (If Moffat will truly be merciful and referring to this when mentioning a "death"), there's a likely chance that the Doctor may not show up to them at the right date and miss out on at least a year or two (With piloting skills like his, at least) since the time when they landed in the given period.
They might have taken the time to adapt to their environment, and this may be a reason for them to want to stay there. Alternately, one of them could end up in the past, and the other wants to stay with them.
These are merely hypotheses, though I'm not caught up in the actual viewing of the latest series (Still somewhere at the beginning of Series Four...).
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