My concern would be finding the right terrain for the cheetah... it would need plains for it to hunt properly... It is an animal highly specialised (speed is its forte). So its advantage over the prey wud be its speed. in absence of proper meadows/ grasslands it would be unable to hunt properly... and if injured would eventually die. It is smaller and isnt as strong as the other big cats of the country.
Any idea of the previous cheetah habitations in India until the 60's?