How is your vision? Do you have any drainage or discharge?
It sounds like you most likely have a case of sinuses. This can cause your eye to get red and cause styes (chalazion) on your lids. You should continue with the warm compresses on the lid to keep the stye from growing too large. You should also try some over the counter sinus/allergy meds. If it's not better in the next day or two, you should see an eye doctor to get some antibiotics.
An infection can cause redness like that. If it looks like a busted blood vessel, it may very well be (I can't tell without looking at your eye). A busted blood vessel is harmless to your eye and vision; and will resolve on it own in a week or so. A busted blood vessel is just like a bruise.
i just notice since we have been talking that i have a very slight dicomfort.
I would use some artificial tears as lubricant. Use warm compresses to keep the swelling down. If it is not better, check with your eye doctor.