Then she had a child with Olafur Aedeyingur but shortly afterwards she got together with Oddur Alason, who was a chieftain at Hrafnseyri in Arnarfjoerdur. He was married to another woman but left his family because of Thordis and later she had a daughter with him.
Oraekja, Thordis's brother, killed Oddur because he suspected him of a conspiracy against him. Thordis continued to live in Vatnsfjoerdur and for a while she was the most powerful person in that area of the country.