Your question has been fully answered by our members that you had no risk and do not need to test.
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NO RISK. NO NEED TO TEST.
This is an HIV prevention forum. We can't answer your questions about phlebotomy/clinic procedures in your area. However, this sounds like a scenario completely invented by anxiety. Call the clinic and ask if you have questions.
We can only assist with determining whether the test you took renders your results conclusive or not.