Explain the situation to your infectious disease specialist and if he or she is unable to show you the results of your blood tests right then and there then you need to find a new specialist ASAP.
And ask for a refund of all your out-of-pocket costs for their services and threaten them with Filing a complaint with your state’s medical board. If you are on Medicare you can also file a complaint with the Feds through Medicare.
Nobody likes to be on the radar of any government agency.