WI: An Eastern Roman Emperor marries Matilda of Canossa

I was thinking what if Matilda of Canossa got married to the Eastern Roman Emperor, would this result in her lands getting added to the Eastern Roman Empire or something else..
 
Unlikely to mean she ends up with her lands under roman control. They'll be taken from her because otherwise the Papal States is encircled on land by the Byzantines.
 
Unlikely to mean she ends up with her lands under roman control. They'll be taken from her because otherwise the Papal States is encircled on land by the Byzantines.
What if she marries a Byzantine claimant like a Commenus or Doukas that fled after Manzikert.
 
Give how she was IIRC a major supporter of the Papacy against the Emperor and quite devout, it seems unlikely she'd marry a prince of a hetrodox state.
 
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