Can I check from holiday inn shifu Guangzhou to Shunde, what is the shortest route? By train or car.

From the hotel, you can take a taxi to get to Provincial Bus Station. The cab fare is about CNY 20. After arriving, there are many direct coaches that can take you to Shunde. They depart from 05:10 to next 01:00 at intervals of 15 to 20 mins. It costs CNY 24 per person.

Can we take speed train? Or shuttle bus is preferred?

Of course you can take a speed train, they depart from GZ south Railway station. From your hotel, you can take subway line 6 at Cultural Park to Haizhu Square, then change to line 2 to the station.
For more bullet train details, you can search on your own on this website.