The reason Professor T wears gloves is primarily due to his severe germophobia, which is linked to his obsessive-compulsive disorder (OCD). He wears disposable rubber gloves to avoid touching germs and to maintain a sense of control over his environment, frequently also disinfecting surfaces as part of his routine to manage his fear of contamination and germs.
This behavior is consistent with his psychological condition where the gloves serve as a protective barrier against perceived contamination and help soothe his distress caused by germophobia.