Harald hardrada wins at Stamford

in 1066 during the Viking invasion of England what if the vikings under Hardrada defeat the English at Stamford with the English sustaining heavy casualties but Godwinson does survive what does he do? does he try to make a new army to fight the vikings or does he surrender his throne to Tostig? does he go to the normans and possibly surrender his throne to William for him to deal with the vikings?
 
He originally backed the claim of William the not yet king so if he absolutely had to I assume he would apologize and recognize the bastards claim in return for leniency or some minor concessions if that.
 
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