Ryne has no text lines in Matoya's Relictt or Paglth'an or special interactions with anything, so unless something gets done she's probably not officially there and only exists inside of replaying dungeons using trusts.

However, with spoilers for Eden questline included
With Gaia being revealed to actually be an Ascian, but with her deciding to side with us that could potentially open up some options.
With G'raha being given all his alternate version's memories, he would have the knowledge of the magics he used to summon people to the First and could probably work them to bring Ryne over to the Source, and with the help of an Ascian there would definitely be less of tearing peoples souls out.