The usual preposition to use with independent is of, not from:
✗ Credit cards make students feel independent from their parents.
✓ Credit cards make students feel independent of their parents.
✗ But I believe women have the right to be independent from men.
✓ But I believe women have the right to be independent of men.
The pattern independent from is used only when we are talking about a country that is no longer governed by another country:
Brunei became fully independent from the United Kingdom in 1984.