Can I wear the Lyonshel under a helmet, with a hat, or with a face veil?
Yes. The lyonshel mask does not have a muzzle that protrudes so far as to interfere with any regulation SCA helmets, fencing masks, or most other helmet designs. An armored veil may scratch the mask, ruining it, but a cloth veil would work well. Many who design costumes to go with lyonshel masks incorporate some sort of additional head and neck covering, which hides the seam of the mask without requiring makeup.