This is a very interesting study. It has long been known that any inflammation you have in your body is very detrimental to the health of your arteries. For example, we know that infectious problems in the mouth such as periodontitis are associated with more cardiovascular problems (angina, heart attack or even stroke). It is also well studied in relation to viruses such as influenza and covid virus, which increase the number of heart attacks and strokes through various mechanisms.  

The human papilloma virus seems to affect even women who do not have many classical cardiovascular risk factors, such as smoking, cholesterol or high blood pressure. Why the virus causes this damage to the arteries is not yet known exactly, but several mechanisms have been postulated. It could be that the virus produces a state of chronic inflammation and this favours the existence of factors in the blood that damage the arteries or even that the virus itself can invade certain arterial areas and favour the development of atherosclerosis with the lesions it produces.  
In any case, it is important to remember that many viruses have their own vaccines. This means that, by getting vaccinated, people can reduce risks such as the one discussed in this article. We already know that getting vaccinated against the flu reduces the chances of having a heart attack or stroke, but this should be remembered often because people forget it.