Most would argue with me and say it would be rejection- but I'd have to say that if you truly are an Artist then you'd only see it as a hindrance, and a motivation to work harder.
But for myself, the worse thing to happen apart from losing both my hands in some freak accident- would be plateauing. In which I would reach my limit when it comes to improvement, I fear that I shall come across my greatest masterpiece too early in my life and thus never top it. I remember reading a story about an artist who came to despise his greatest work so much that he was happy when by chance it had been destroyed, for he feared that he could never make another painting to top it and was delighted that no one could ever lay eyes upon it again.
And considering I still have a long way to go in terms of technical improvement, I am terrified that it will come earlier rather then later.
Though, I have destroyed my own artwork for lesser reasons. And trust me, there is no greater threat to a painting then when it's creator is going through an inadequacy fit. And for an artist, it is more important that they like their work then their patrons.