You’re disabled under the Equality Act 2010 if you have a physical or mental impairment that has a ‘substantial’ and ‘long-term’ negative effect on your ability to do normal daily activities.
‘substantial’ is more than minor or trivial, eg it takes much longer than it usually would to complete a daily task like getting dressed
‘long-term’ means 12 months or more, eg a breathing condition that develops as a result of a lung infection
However, you automatically meet the disability definition under the Equality Act 2010 from the day you’re diagnosed with HIV infection, cancer or multiple sclerosis.
I would say yes but it is obviously determined on a case to case basis but definitely classifies as disabled for reduced rent (might need a letter don't know the process) and the blue badge is worth applying for