Karen and her far cousin can have a Wikipedia page, if:
1. there are reliable secondary sources to cite for any claim the article makes, and
2. the page fits in with other coverage of the same subject.
Both factors are problematic for Karen (or were), but (2) is the bigger problem, because Wikipedia already has well-groomed (GA-status) coverage of Pokemon, and that coverage already includes Karen. You can't come in an reorganize Pokemon coverage on WP without getting buy-in from the people who built up and maintained the GA articles that already exist.
1. there are reliable secondary sources to cite for any claim the article makes, and
2. the page fits in with other coverage of the same subject.
Both factors are problematic for Karen (or were), but (2) is the bigger problem, because Wikipedia already has well-groomed (GA-status) coverage of Pokemon, and that coverage already includes Karen. You can't come in an reorganize Pokemon coverage on WP without getting buy-in from the people who built up and maintained the GA articles that already exist.