Obtener cuentas condicionales en la misma fila en MySQL / SQL

select team,
 SUM(case when gender='Male' then 1 else 0 end) Male,
 SUM(case when gender='Female' then 1 else 0 end) Female
from tbl
group by team

Por el comentario

Estás cerca. La respuesta es

select team,
 SUM(case when gender='Male' then 1 else 0 end) Male,
 SUM(case when gender='Male' then points else 0 end) `Male Points`,
 SUM(case when gender='Female' then 1 else 0 end) Female,
 SUM(case when gender='Female' then points else 0 end) `Female Points`
from tbl
group by team