Again, without any idea if there is a medical etiology here, there are
a couple of things you can try:

1) Do you work at a computer all day?  If so, then ensuring basic
visual hygiene is a good start:

http://www.sunyopt.edu/uoc/vishygiene.shtml

2) On the chance that your eyes are at least a little dry, you can use
lubricating eyedrops throughout the day.  You may want to start with
something like Systane:

http://www.systane.com/consumer/default.asp

3) If the Systane (or equivalent) offers no relief, you may want to
try a very benign drop meant to treat redness due to allergies, like
Similasan

http://www.allaboutvision.com/similasan/

I would probably try one of these drops first, use it for a couple
weeks, then switch to the other drop.  If you find that one or the
other gives you particular relief, I would make a second appointment
with your ophthalmologist to review what you've tried and what works.

If you find that neither helps, I would *still* make a second
appointment with your ophthalmologist to rule out any other underlying
causes.

Good luck!

Do you get enough sleep?  Do you smoke?  Do you live with a smoker?  Do you
use drugs?  Do you have allergies?  Do you work outdoors or spend a lot of
time outdoors without sunglasses?  Do you work in a dirty or dusty
environment?  These can all cause blood shot eyes.  You may have dry eye,
your eye doctor can look for that.  Do you spend long hours on a computor or
reading -- those activities decrease blink rate and may cause dry eye.  Do
you have dandruff or acne (these conditions can also be present on lids and
cause red eyes)

See your doctor again and ask about the blood shot eyes.

Dr Judy