Hi, I woke up with a subconjunctival hemorrhage in my left eye. I went to see the eye doctor who told me it would heal naturally and got some eye drops etc etc.
I lifted weights the night before, but didn’t realise the weight training could have been a cause until after I had been to the doctor.
I am not giving you specific, individualized medical advice, but in general, a benign/non-traumatic subconjunctival hemorrhage would not stop me from training.