David- I studied with Pierre Jamet, one of the great harpists and harp teachers of the last century. He had fingernails just like yours and it didn’t bother him a bit. Actually, my fingernails detach from the skins back from the tip of my finger(I think like most people), and I worried for a long time that that would cause problems. It sometimes does. If I’m not careful I can catch a string with the fingernail instead of the tip of the finger. But I always find a way to avoid that.
Harp technique is a format that helps you use your hand in the most efficient way possible and helps you produce a beautiful sound. But the specifics of any technical approach have to be tailored to your hand and abilities. And much of that fine tuning has to be done by you yourself with the guidance of your teacher. Trust me, you’ll be fine.