Organic just refers to a physiologic problem - something is wrong with your body....as opposed to a psyche problem (deep resentment of women, deep resentment of a single particular woman, religious beliefs, previous experiences like having been caught jacking off or while doing the preachers daughter, having been gang raped by a Catholic priest biker gang as a kid, being concerned over having chicken pox scars on your peepee).
Organic problems can include neuropathy due to diabetes or other causes, spinal nerve damage, pudendal nerve damage from getting kicked in the cajones, prostatitis, painful ejaculation from certain drugs, impaired sympathetic nerve response from certain drugs, brain injury, etc.