Your eyes glow blue, and you can see magical auras 120 feet away.
Okay, I imagine that other creatures could easily spot you from a good distance with the spell active.
How about if you're invisible? Or just turned away from whoever's looking your way?
I suspect you could have a bit of a dimmer switch built in. It doesn't say "glows with light equal to a torch" or anything like that. If you really need to be sneaky and use the spell just squint. Not much light visible that way but you can still see.
On the other hand, there's nothing wrong with using the flavor text to provide clues, as in, "The stern looking man standing behind the king has eyes that glow blue."