Physical Danger
The danger an illustrator faces is second only to that faced by alligator wranglers.
In all seriousness, you really have nothing to worry about. Those pens and pencils can be pretty sharp sometimes, but if you're doing it correctly, then you know which way the sharp end should be pointed. (And conversely, if many of your drawings have been coming out unusually blank while you end up covered in colors—now you know why.)