Wilton Abbey

The only real clue is the name itself, but in England at the time, it wasn't especially rare moniker, and several women called Aelfgyra, I'm probably mispronouncing that, appear in the historical record.

One candidate is the sister of Harold, who became abbess of Wilton Abbey, an important nunnery in Wiltshire.

This particular Aelfgyra was reputedly blinded by an accident, and her sight miraculously restored by one of Wilson's former residents, Saint Edith.

That could explain why a tonsured cleric is depicted in the tapestry touching the woman's eyes, seemingly in reference to healing miracle.