No she belongs in the X-MEN. And theres no way for her to legally be used in the MCU as her Avenger membership occurred years after Fox bought the film rights. Her long history with Ms. Marvel doesn't make it possible for her to be in the MCU either, it was revealed that Wolverine partnered with Captain America during WWII multiple times but he still can't be used in the MCU.
Hasn't there been talks in the past about characters such as Wolverine or Rogue, who first appeared outside of the X-Titles possibly being able to appear in the MCU. We did get Quicksilver in both the MCU & X-Flims. It is a slippery slop as to who wholly owns the movie rights to some of these characters. After all, the Inhumans are somewhat tied to the Fantastic Four & we see where their cinematic home is. And Lady Deathstrike & Silver Samurai both appeared in DD comics before battleing Wolverine but they have appeared in X-Films & not MCU films.