One thing they have to address is that 'rift'. What caused it and why Peter reacted and importantly 'looked at her like she didn't exist' causing her to feel discomfort.
To me I find it irony for Earth-65 Gwen after the disrespect she did/states about the other Gwen and overall the versions born by science. She went on how CC Gwen 'wasn't real' (which is another way of saying that CC Gwen is a alternate Gwen Stacy born not a resurrected Gwen Stacy OR that if you were born by science then your life doesn't matter) right in front of a grieving Peter sad that he wasn't able to save her and many other lives as they were essentially walking in a place with dead bodies of once living people turned dust that they failed. She treated her with disrespect HOWEVER Gwen Stacy of Earth-65 also isn't Gwen Stacy of 616 but a alternate. The way 616 Peter looked at Earth-65 which gave her pain is EXACTLY the same look CC Gwen had to go though and had to earn her respect by her actions and self sacrifice.
Thus Peter clearly can tell Earth-65 Gwen how he didn't like her disrespectful tone and bias to a alternate Gwen (like she is) that SHE never took time to know all because of how she was born. Perhaps Peter in self reflection still hurt of the lives he failed but also his actions a words of the past towards how he acted to Ben during a time when both thought Aunt May was died and he denied him to be at her funeral ("He might be my Clone but I was his Monster"). Having taking just a small time to know the other alternate Gwen ("'resurrected' or 'alternate' like you are she was A 'Gwen Stacy' but more importantly a good person that I failed...and you just kept mocking her existence and right to live").
To be honest I DON'T want Peter apologizing as I feel it was Earth-65 Gwen who shown a heartless side all because that 'Gwen' was born by science and Peter by Earth-65 words saw a past ugly side of himself when he did the same cruelty and disrespect towards Ben in his life. It should be Gwen taking a retrospect of her actions and words she constantly spoke about alternate Gwens in the Multiverse born by science. One of the hardest RESPONSIBILITIES a person can undertake to the acknowledgement of wrongdoing and changing and asking forgiveness for how they acted. Peter wanting to save 'his brother" that he sees in need of psychological help plus forgiveness of his own past wrongdoing.
Meanwhile afterward we seen Laura and Earth-65 Gwen team up and burfeind before in the annual issue of the All New Wolverine. Having them go on a mission agian (and maybe even for go measure 1610 Jessica Drew and 1610 Gwen) and things are going well between all the gals...then Earth-65 Gwen opens her mouth bad mouthing 'clones' agian not releasing the origins of the company she is in. She wonders why she getting cold looks till they all tell her they are 'clones' in some form and she just insulted their existence.
I feel the rift would end when Gwen acknowledges and grows as a better person to others (even if the whole matters of existence and life by science still gets her uncomfortable to handle).
The matters that she is a 'alternate' herself and not 616 Gwen Stacy YET is a Gwen Stacy herself and in doing so those that known 616 Gwen WILL look at her coldly just like the Gwen alternatives born by science on 616 Earth had to go though and Earth-65 Gwen will know how cruelly that felt wearing the shoe on the other end she was bad mouthing in some form.