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Welcome to the Forum. Your question is a variation on questions that we receive regularly about the possibility of acquiring HIV from swallowing or ingesting blood, either directly or indirectly. The answer is that there is no evidence anywhere that swallowing blood, irrespective of the amount, has ever lead to HIV. In the instance you describe, not only would swallowing not put you at risk but the fact that you suspect that the blood was somewhere outside of your body before being swallowed makes it still less likely that you would be infected since HIV is a fragile virus which becomes non-infectious almost immediately on exposure to the environment. Thus if you swallowed blood and if the blood contained HIV, there would still be no risk for infection.
The symptoms you describe are not particularly suggestive of HIV either- among the differences are that recently acquired HIV is associated with a generalized, not a localized rash and is not associated with nasal or chest congestion.