reddish eye

i just got a new kitten, his eye was perfectly fine one minute and an hour later its red and cloudy, no drainage or irritation hes acting normal, when i look closer it looks like a broken blood vessel would look, is this merely what it is? i have a appt at the vet but if this is no big deal i would cancel it??

Cute little girl in your avatar, there.  What would you do if HER eye looked like the kitten's eye?

The vet should check it, since it could be a number of different things, some serious, some not so much so.