Phobias are unusual irrational and excessive fears that are not temporary.  The pandemic situation has brought on different hospital related phobias.  These words are not new but their use has increased significantly in the recent times.

Nosocomephobia

Excessive fear of hospitals.
From nosokomeion (Greek) which is from nosokomein meaning ‘to tend the sick’[nosos - sickness, komein - to take care of]. Nosocomium (Latin) means hospital.
Pronounced no-so-comb-phobia

Latrophobia / Iatrophobia

Fear of doctors
Latros(Greek) means healer.  Iatros (Grek) means doctor.

Mysophobia /ˌmʌɪsə(ʊ)ˈfəʊbɪə/ 

Fear of germs, contamination and infection.
From musos (Gk) meaning uncleanliness.
Some other words with the same meaning are Germophobia / germophobia / germaphobia / verminophobia / bacillophobia / bacteriophobia
Molysmophobia or molysomophobia, rhypophobia, and rupophobia are general fear of dirt and filth and ensuing contamination.

Hemophobia
Fear of blood

Thanatophobia
Fear of death
Thanatos is personification of death in Greek mythology

Trypanophobia
Fear of needles or injections.
Trypano (Gk) was a device (augur) used to drill holes.

Hypochondriasis
A normal person wrongly believes that he/she is suffering from a major disease.