There's another key rating that hasn't been discussed yet here: burden. This is about the same thing as the secondary load on a distribution transformer.
The motor is not the load or burden on the CT. The protective relaying being driven by the CT is the burden. Every relay you add burns a bit of the power available from the CT. You need to make sure that the CT is rated to handle the burden imposed by all relaying.
Unless you are going crazy with relaying, though (such as using LOTS of mechanical relays), any CT designed for use in relaying should have sufficient capacity.
By the way, I'm gonna add this little piece of advice since it sounds like you're not too familiar with CT's: consider getting a "shorting terminal block" for connection of the CT wiring. This facilitates maintenance and can help prevent shocks or equipment damage from open-circuited CT's. Not required, just a nice option. Some might consider this "old school," so I'd be interested to see what anyone thinks.