Well it basically depends upon you

The university (NOT the college) awards the degree.

Make a 2X2 matrix of (university, college on one axis; and good, bad on the other axis).

Now decide which box is aspirational and which box is practical.

I would say: a bad college affiliated to a great university is always better. The great university will impose minimal operational standards which ought to be comparable with great colleges affiliated to a mediocre university.

Ultimately, the job markets and placements profile are good measures and metrics for decision making (parents involvement is a must).

Benchmark your eamcet with national competition tests.

Generally, for ladies, I suggest institutions closer to home.