my cat Kozmo

I rescued my beautiful all white cat Kozmo 3 yrs ago. He has many medical conditions including a bacteria that is eating his nose. I was told today I should put him down. He's survived miraculously through other medical scares.... I don't know if I should keep faith he'll heal or give him to God. There's a reason God put me in his path, could this really be it? I am a working full time student trying to find a relationship with God... But I'm feeling discouraged. Please pray for us.