Not sure I understand your situation 100%. You say you have COPD, yet don't mention allergies. However, you are posting this question on the allergies section. If you don't have allergies, there shouldn't be any concern about getting a cat, in terms of it interfering with your respiratory health, because COPD is NOT an allergy-related disease. And I'm sure there would be emotional benefits.
However, if you DO have allergies with a sensitivity to cat allergens, then no cat, whether long-haired or short-haired is guaranteed to not trigger your allergy symptoms. In fact, some of the most powerful cat allergens are cat urine and cat saliva, not dander.
That's all I can tell you without further information...