Yes, a defectvie aorta valve can cause SoB. To rule that out would require an echocardiogram with a doppler (color coded blood flow). It the valve restricts good flow of blood into circulation that will cause shortness of breath...it would not be a normal response.
I have researched heart valve issues as I have MVR. My contact with the Mayo clinical and information from a renown surgeon has stated not to wait too long. Waiting too long can enlarged the heart, and to operate on an enlarged heart can often not restore left ventricle functionality.
Your mother had CHF (I had CHF 6 years ago), and that would indicate your mother's heart may not have been pumping with good contractility...blood backs up into the lungs causing edema (congestion). I am sure your mother's heart does not immedfiately respond with strong contractions after a operation...it may take a few months for the heart to recover and pump adequately. An echo would show if the left ventricle is normal or how enlarged it may be. Also, the test would determine the amount of blood pumped with each heartbeat...weak contrations, low cardiac output and symptoms your mother seems to have.
Your mother's doctor states the heart is strong! What is the basis of that opinion? Also, no fluids in the lung...this indicates your mother has had more tests than mentioned in your post?. You should notify the doctor of the problems, and have your mother schedule a followup evaluation post surgery.
Hope this helps give you some insight into the possibilities of a medical problem. And thanks for sharing. Take care.
I think they need to establish if it's the heart or the lungs first. Have they given your Mother a Lung function test?