Angora rabbits can get ill and one illness to be aware of is Encephalitozoon Cuniculi. It is common and 52% of healthy domestic rabbits have it. They are not sure currently if it is a fungi or protozoa. Spores are passed through urine and can affect the nervous system and kidneys. In a post mortem the kidneys have walled off appearances with white spots.
The main symptoms include cataracts, head tilt, off food, lethargic, renal failure, seizures and blood in urine.
This problem is also a risk to immunocompromised humans.
If this is suspected them the environment will need disinfecting and the rabbit treated with an anti-inflamatory such as Meloxican and 28 days on Panacur.