Well, in my opinion, bloodshot eyes cannot be caused by low blood pressure. And on the other hand, high blood pressure can lead to bloodshot eyes. And generally speaking, when you have high blood pressure, it will just affect your eyes, leading to high eye pressure. In that way, your eyes will suffer some symptoms, including bloodshot eyes, red eyes. And for your situation, maybe your bloodshot eyes are caused by some other reasons, such high fever. For the treatments, you should eat a diet rich in fresh fruits and vegetables. You should know that these foods provide lots of antioxidants, which may help boost your immune system, especially vitamins A and C. Also, having some cold compresses can be effective.