She said she wasnt afraid of Doctor Who after the pair clashed on trans rights.
Badenoch won by more than 10,000 votes from a total poll of more than 130,000.
He stressed that the party, currently in opposition, must unite in addressing the countrys needs.
Conservative Party leadership contenders Kemi Badenoch and Robert JenrickDan Kitwood/Ian Forsyth/Getty Images
1922 committee chairman Bob Blackman then announced the winner of the leadership campaign.
Early favourite James Cleverly was defeated earlier in the contest.
