that's not deep enough to be super worried about, i would be worried if it was over half.
On top of that, the grain isn't superb, but it seems like its done the job! congrats! make sure to seal it well with something like wax or something, you want a water sealant just so that when you shoot during humid or raining days it doesn't absorb a BUNCH of moisture and take even more set. Any sealant will work i suppose, ive used deck sealant and it works fine, repels the water, but will only slow water vapor.
But if its all the same to you, i suggest wearing safety glasses until you've got about 200 arrows through it.