Transferring to another university due to discrimination/policies/healthcare availability?
I'm pretty sure that in most places a transfer would be based entirely on you academic qualifications and record. While individuals may be sympathetic to your problems, most systems are too bureaucratic to include such factors in decision making. If you have a good record and have a promising future you can probably move. 

In an interview, however, you could raise some issues, especially better health care opportunities, but I'd be a bit cautious about claiming a discriminatory environment unless there is already public discussion of some incidents. It isn't that such things are unlikely to exist, but that they are hard to judge and probably wouldn't overcome academic deficiencies if there are any. Just be cautious. 

But you might explore your current situation with a trusted faculty member or with an office dedicated to student support before you make firm decisions.