That last sentence is the most interesting part of your message, and it is a good sign rather than a bad one. People who are purely being stubborn do not usually wonder whether they are.
What happens in a long-running conflict like this is that the two positions harden and both become less about the original subject. Your parents are arguing for security, which is what CSS represents to them, not for the exam itself. You may be arguing for the right to choose, which is not quite the same thing as wanting the specific alternative. Once that has set in, it becomes genuinely hard to tell your own preference apart from your resistance, which is exactly what you are describing.
A useful test, though it is uncomfortable: if your parents said tomorrow that they fully supported the other path, would you still want it? Sit with that honestly. A lot of clarity arrives in that question.
Sessions are private and nothing goes back to your family. And if cost is the obstacle, there is a student rate; many universities also run a free service worth asking about first.
This is general information in reply to a public question, not advice about your own situation, and it does not create a client relationship. If you are in immediate danger, contact emergency services.
