Babita struggled to find her feet in the first period after being pushed out of the safety zone and then the Greek wrestler took another two points to extend the lead further to 3-0.
The 26-year-old Indian managed to bag a point in the second period as Maria failed to make the most of the 30-second advantage.
Babita once again went for aggressive play but Maria turned it around to add two more to her score. From then on, things started slipping from the Indian's hands as Maria displayed great defensive skills to hold on and beat the Indian 5-1.
Babita still has a chance to qualify for the Repechage round if Maria manages to reach the final.
