Compassion for the Cat

Can anyone help me obtain compassion for the elderly cat I've inherited? Or, the freedom to have her put to sleep while remaining a good person? I could list all the irritating things about her, but they aren't the point. I could list all the irritating things about myself, while I'm at it.
Try existentialism, would be my advice if someone were asking me for this help. If I loved the cat, what would I do as I encounter her yowling at all hours of the day? Acting as if one already feels the emotion wished for in the situation creates a space in one's life for that emotion to come into being - a compassion-sized hole in the universe, to paraphrase the title of a sculpture of Lauren Levy's. Emotions are manifest in our bodies, not our imaginations.
I'll try this.

And, I'm going to see this blog as less a request for attention from others, and more a diary, and stop looking at the number of comments space, waiting for changes from 1 and 0. How much attention do I need for self-esteem?