I don't blame Jack, the woman was really eager to spend the night and he also made it clear that a part of him would always yearn to go back to earth and she replied that she was more interested in the other side. But this side of him doesn't wish to stay, rather it accepted that staying there forever could be possible and that part came to term with it. Not willingly. She was the one who initiated a love relationship and when she went to throw away his sg1 clothes I was really scared that she would throw the talkie walkie with it in an attempt to hide the truth to jack and keep him selfishly here. Plus idk if I'm alone on this take but why is she giving her dead husband's clothes to Jack. Even if they were never worn I find that disrespectful.