A clot one place can migrate to another place, a pulmonary embolus (what you have) can fragment and pieces can end up in the coronary arteries or the brain. Besides your dyspnea (difficulty breathing) if you begin to experience chest pain behind the sternum (breastbone), or pain radiating to your shoulder, arm, jaw, or from front to back, immediately inform the nursing staff, as you may be having a coronary embolus. That's the term for a heart blood vessel obstruction (an occlusion, either partial or complete) which in layman's terms is a heart attack. Because the right side of the heart pumps directly to the lung fields, this is not an uncommon occurrence. The lungs send the re-oxygenated blood back to the left side of the heart, which then supplies the body's blood distribution via the aorta, which goes up and across (to the shoulder girdle and the head/neck, and chest), and then down (to the abdomen and lower extremities). Movement of blood clot fragments can obstruct any of these, and which is why they have you on coumadin, warfarin, or similar, which makes you prone to internal bleeding since it interrupts the body's natural clotting mechanism.
Do not delay in reporting your symptoms! Insist on imaging being done to show or to rule-out blockages or obstructions in the area where the symptoms are present. They may use radiopaque dye to determine the extent of the obstruction. One way to deal w/the blockage is to 'fish' it out using a fine wire, much in the same way you would 'snake' your toilet. I have been in the cardiac catheterization lab and seen them remove a blood clot that looked like a cigarette (!) from a coronary artery. The same type of problem can be in your neck arteries, and can produce a stroke. Discovered promptly, and w/the appropriate intervention, the patient can make a full recovery, w/no long term deficits. Untreated and undiagnosed, it can kill you. I'm not trying to be an alarmist, I'm just suggesting you inform the staff at the hospital if you have any of these symptoms. Insist on an evaluation by a vascular surgeon or other appropriate physician. The best care may be to be transferred to another hospital where they perform such vascular (blood vessel) procedures daily, instead of being in a community hospital where they don't have the volume of symptomatic patients whose conditions and plans of treatment are the same as yours.