Aside for the risk of dissection (rupture), when the aorta widens into a bulge (aneurysm), blood clots are more likely to form. If a piece of a blood clot breaks off, it travels through the circulatory system until it lodges somewhere. The clot can cut off blood flow to any area of the body. In the most serious cases, the broken off fragments can cause stroke or heart attack. The fragments can also cause one or more vital body organs, such as the lungs, liver, or kidneys, to stop functioning properly.
You should be on an anti-platelet medication such as an aspirin as well medication to control hypertension. I don't believe you can avoid an operation without a serious risk.
I don't think you have a choice other than surgery. This will continue to grow and could burst at any moment. My husband had it, and opted for the surgery.