Almost everyone who has XX chromosomes is female and almost everyone who has XY chromosomes is male, but 'male' and 'female' are not defined by the sex chromosomes XX and XY. Some people have rare chromosomal development disorders and can end up with X, XXY, XYY or other complexities. These people are not new sexes, they are all either male or female.
Male bodies are those that are structured towards the production of sperms. Female bodies are those structured towards the production of ova. I say 'structured towards' because such a body might not actually manage to create the relevant gamete, but infertile people are not considered sexless.
The Galapagos giant turtle was once endangered and scientists took some eggs and hatched them under tightly controlled conditions with a view to releasing them into the wild. All of the baby turtles turned out to be female. It turns out the turtles' sex is not determined by chromosomes, but by the temperature at which the eggs hatch. The concept of sex is distinct from chromosomes.
Chromosomal anomalies in humans do not imply extra sexes. There are just two types of gamete: sperms and ova (eggs) so there just two sexes. No human has ever had structures for production of both sperms and ova.