Hello aspirant,
With an ST category rank of around 41,126 in TS EAMCET, your chances of getting Computer Science or ECE in top government colleges are very low, as the cutoffs for ST in those branches usually close much earlier. However, you still have a fair chance of getting branches like Mechanical, Civil, or Electrical Engineering, especially in the later rounds of counselling or spot admissions.

In private colleges, many good institutes offer these branches at higher ranks. You can aim for Mechanical or Civil Engineering in colleges like Malla Reddy, CMR, MVSR, or Aurora. Some of them keep seats open till very late ranks for ST candidates.

So yes, while top-tier CSE might not be possible, you definitely have a good shot at getting into private engineering colleges in core branches if you participate actively in all counselling rounds.