There were several reasons why the Allied Powers refused the Jewish refugees admittance including:
The number of Jews fleeing Europe were in their hundreds of thousands and the allies did not want to incur such responsibility while they were still fighting a war.
The Allied powers also had problems of Jewish discrimination of their own with a lot of the population still being anti-Semite.
In conclusion, they did not want to take care of them.
Find out more on anti-Semitism at https://brainly.com/question/1078780.