Will castile soap hurt my cup?

Ingredients- water, saponified organic coconut and organic olive oils (w/retained glycerin), organic hemp oil, organic jojoba oil, natural rose fragrance, citric acid, vitamin E. Is there any reason why I couldn't use this on my cup? When you clean with soap do you just add the soap to water and let it soak, or rub the soap directly on the cup? I've been soaking my diva cup in diluted hydrogen peroxide which has been working, but I don't really want to tempt fate anymore.