Fingering is an extremely low risk activity for transmission of HIV virus.
However, theoretically is possible to get infected with HIV virus if there were some cuts on your finger that allowed the possibly present virus in vaginal and anal fluid to rich inside your body.
Weakness and fatigue are common symptoms of iron deficiency.
Having white patches doesn't always indicates hairy leukoplakia.
Acctually, yellowish or creamy white spots on tongue, sometimes accompanied with discomfort and burning sensation in the mouth and throat, can be due to Candida overgrowth (harmless fungus) or oral thrush.
Iron deficiency is a predisposing condition for growth of Candida.
Personally, I think there is no need to worry about possible HIV infection.
Have you tried to wiped of the white patches?