According to your history, it seems to be most likely Subconjunctival hemorrhage. (NOTE: As it is provisional diagnosis without examining the eyes, it is better to confirm it by getting a physical examination by an ophthalmologist) Subconjunctival hemorrhage is blood that is located between the conjunctiva and the underlying sclera.  The most common causes are coughing, sneezing, straining, or any similar action that temporarily raises blood pressure in the veins, leading to a small rupture in a blood vessel or capillary. Subconjunctival hemorrhage can also occur because of trauma to the eye — even minor trauma such as rubbing the eye vigorously. Other common but less frequent causes of subconjunctival hemorrhage include diabetes mellitus, high blood pressure, and excessive amounts of certain medications such as aspirin or blood thinners like warfarin which affect the body’s bleeding mechanisms. Usually, no treatment is needed. This condition clears by itself within one to two weeks. Recovery is usually complete, without any long-term problems, similar to a mild bruise under the skin.  Some artificial tears can be applied to the eye if mild irritation is present. The eye does Not require a patch.The use of aspirin or other medication that inhibits clotting should be avoided.

It could be a condition called subconjunctival hemorrhage ( a small bleeding spot under the white part of the eye). This usually resolves in about one week, all by itself. However, an ophthalmologist consultation adds safety to you.