A part of Loki's mind flashed. A warning. Do not trust this woman, do not approach her, do not keep yourself unarmed! But he didn't want to listen to that part of himself this time. He had a chance to be there for a sibling, to help them, to show them that they had both been wronged and could mend, even if she had tried to kill him when he was but a small child.
Hesitantly he approached her. He knew that it was a bad idea but he had to give her this chance. He could easily summon one of his daggers quickly if need be, and he would be close enough to stab her fast. He also had a number of other tricks up his sleeve he could use to escape didn't he?
But for that moment, he was giving into weakness. A love for the broken ones in life, especially family.
"We will help you... If I can find happiness here I know that you can too. As much as I am loathed to admit it... I am happy. And I wish the same for you too" he said as he drew closer to her. Usually he would have nervously rubbed his hands as he and his Mother both did but he didn't. He approached her open arms and carefully embraced her as a sibling.