Why doesn't the Catholic Church support female priests? Understanding that the Catholic Church has its foundation in Judaism, which is a male based religion, how does she justify the fact that women cannot administer religious rites?
Short answer:

Jesus did not ordain women. 

Long Answer:

It is because of Christ's example in sacred scripture and because of Apostolic Tradition (Tradition with a capital 'T'). The Church does not consider herself authorized to change this.  Christ could have ordained women to priesthood. He had the power to do that and he chose not to. Christ chose those whom he willedMk 3:13-14; Jn 6:70, and he did so in union with the Father, through the Holy SpiritActs 1:2, after having spent the night in prayerLk 6:12. These chosen men were the one who were present at the institution of the Priesthood in the Upper Room on Holy Thursday.src1 src2 src3

There were women priests in other religion. So it wold not be a scandal if he did ordain women. Also priests are at mass in Persona Christi, so it would be proper for them to resemble Christ in body too.

Also remember that the perfect non-divine human being, the mother of God was not a priest.