I am afraid any pulmonary embolus is pathological and there is a need to assess risk. Whether to anticoagulate or permanently anticoagulate is debatable and I suspect if you ask several doctors you will not get the same response from any two. The best advice would be to sit down with your consultant - does he or she know your occupation? Does he or she know you need a 'medical' and the affect his decisions can have on your career? Only after that explanation from you can your consultant discuss the options. At that stage you might want to ask for a second opinion. No proper doctor will ever complain so if yours does, change him,
Armed with the facts you can then discuss with the CAA. I am sorry I havent answered your question more succinctly but it would be impossible without having all your notes and images