England all-rounder ruled out of Women's T20 World Cup
Kemp, who made her T20I debut earlier this year, has played nine T20Is, taking eight wickets at an average of 18.62 and an economy rate just over seven runs per over.
Earlier in September, she became the second-youngest women's player to score a half-century for England, making an unbeaten 51 off 37 balls against India.
The left-arm quick and late-order batter had travelled with the squad to the Caribbean but flew back midway complaining of back pain.
She missed the entire three-match ODI series in the West Indies, which England won 3-0.
She will miss the ICC Women's T20 World Cup in 2023 after further scans in the UK revealed a stress fracture in her back.
England are currently playing West Indies in a five-match T20I series and have won both of the T20Is played so far.