I understand what you are saying. That said, if PSG want a very good player (which she is) they will also get name recognition bringing her in to their team. After her Euros, casual fans of the women's game know Chloe Kelly. This may be the reason why. It will put arses in the seats maybe?
And as I've said previously in this thread, Chloe makes many more £ than the average female footballer in England makes. Her playing contract may be in line with other players of her ability however, the money she makes in endorsements and sponsorships vastly exceeds other women in England.
She makes close to £1 million a year with her contract and endorsements and sponsorships combined. I dare say that is probably 2 or 3x more than any other woman at City earns. She won't likely get those endorsement deals in France. They may feel they have to give her a large salary to get her to sign.
I'll say it again, Chloe should stay in England if it is about money. If she wants a new challenge then playing on the continent would be a new challenge. Otherwise, her Lionesses heroics will keep her earning more in England.