In this reality, Carol Danvers wields the Phoenix Force. Which makes sense to those of us who noticed their superficial, aesthetic similarities. It makes less sense logically. Carol says that Jean Grey "chose" her as the next host of the Phoenix Force-- why? I have my usual speech about how Rachel Summers has been told, by the Phoenix Force, that she is the one true Phoenix. Rachel is supposed to be more powerful than Jean, not less. So, in this reality, why on Earth would Jean choose Carol --whom she isn't even particularly close friends with-- over her own daughter?
Next, why does Carol now have Jean's telepathy and telekinesis? Those are Jean's mutant powers. Other people have been hosts to the Phoenix Force before. It magnifies whatever your preexisting powers are, usually while also giving you wings of cosmic flame that you can manifest for dramatic effect. Carol doesn't have any telepathy or telekinesis. So, the Phoenix Force should just have magnified her preexisting Binary powers. That's it.
I'm not going to weigh in on the questionable decision that the Phoenix-empowered Carol decided to protect a few thousand people in her home town from the X-virus, and just stay there babysitting them for ten years. I could see myself doing that, so it's a plausible course of action. I'm just not sure it's reasonable given the set of facts we're presented with. If Carol now has phenomenal cosmic power and telepathy, why isn't she in contact with the outside world? Jean used to be capable of telepathically communicating with every mind on the planet. Why can't Carol even make one long-distance phone call?