She just kind of took the Spider-Woman name because her powers were vaguely spider-y, but the MCU is certainly no stranger to reworking characters, so her backstory could always be changed.
She actually has almost nothing to do with Peter Parker, only somewhat recently being tied to his mythos.
Probably the most obvious choice after you remove Black Cat and Silver Sable from the equation.
Spider-Woman also has a history as an Avenger, so her inclusion is just a matter of time.