Starting the process isn't likely going to influence your current status one way or the other. You did not enter legally, so you are not protected, but DACA (if rightfully applied) is protecting you. Of course, the president-elect threatened to end the DACA protections. My suggestion: get started right away! You've got two months before Trump takes office and then there's going to be a bureaucratic period even if he wants to end the program. Your situation would be helped by having a COS pending if and when this happens.