Blood pressure | Red eye | Blood in eye

Can a problem with blood pressure cause a red patch to appear in the eye?

I woke up this morning with a red blotch on the white bit of my eye. It looks like there's blood in the eye. Is this caused by blood pressure?

I take meds for blood pressure so sometimes my pressure is too low, other times it's too high.

Do I need to see a doctor or an eye specialist for a check over? Also - I've been wondering about buying a blood pressure monitor so maybe now is a good time to do that and then I can check my own blood pressure at home.

Thanks

Robert