If you claim the tuition credit, you do need to report that you got a 1098-T or that you qualify for an exception (the TurboTax interview will handle this).
Not all colleges mail out a paper copy of your 1098-T. Check you college account, on line.
I paid for a college class out of pocket. i have not received a 1098-T
Did you only enroll in that one class in 2019? If so, then there's no way you were a "full time student" for at least one semester during the tax year. Therefore, you don't have any qualifying education expenses.
EXCEPTION: If you enrolled in a class for the summer semester, then the college "could" consider you a full time student for that one semester. That would be enough for you to qualify.