According to the Naruto fandom, Rin did ask Kakashi to kill her in order to save Konoha, her village. After a three-tailed beast was put inside her, Rin decided she didn’t want the beast to take control over her and destroy her home.
For Obito, Kakashi was a victim just as Rin was. He didn’t blame Kakashi for killing Rin, but rather for “letting her die” and not being able to keep his promise. He was aware of the fact Rin had the 3-Tails inside her and chose to die by Kakashi’s hand. Obito knows Kakashi wouldn’t just kill Rin.
She was in a teaRin Nohara (のはらリン, Nohara Rin) was a chūnin of Konohagakure and a member of Team Minato. She was forcibly made into the jinchūriki of the Three Tails Isobu, as an elaborate scheme by Kirigakure to destroy her village.