Wow this is exactly what I needed to hear ! Thank youI'll share a perspective of mine that I've heard expressed in a variety of ways by "songwriters", some of whom I play with, paraphrased in my words.
Songs have an existence of their own in some sense - they can be out there, waiting to come into the world and be heard. They will choose the person most appropriate to express them.
You have developed as a musician to the point where some songs have chosen you. Respect them, accept them, play them, let everyone hear them.