My problem is, she clearly didn't die in the 3rd war. Of course she could have died afterwards on a mission, but I doubt that. It would make sense if she died in the time skip and that lead to kakashis MS, but it wouldn't make sense that we haven't seen her at all, or maybe kishi just hadn't thought about her till when he made kakashis gaidenNope not important plot advancement only. The manga said she died later in the war.
Rin's fate after this was unknown at first. She is assumed to have died, as Kakashi has indicated that all those close to him were dead and the fact that he lamented on how he failed to protect her. This would later be confirmed during Kakashi's dying moments as he was going to see Minato, Obito, and Rin.[2]Narutowiki
But you never know I guess