Can I trust the SPCA?

It’s come to a sad ending in which I have to part with my puppy): I’ve been looking at different animal shelters here in my city, but none have responded. I might make a last resort to the SPCA. She’s a beautiful puppy so I have no doubt she’ll be adopted quick. I was just wondering if I could trust their services, and what are the steps I need to take in order to surrender her.