Mhotel, i do know that google was/is having an issue with their sync services. It was driving me nuts for a while!
Do you actually see this contact under contacts in google on ur desktop? If yes, try going to settings-accounts (on phone) , then stop google sync for a few minutes. U could always just use the notification icon but this is better. Then go back into the account (on phone) and sync again OR sync contacts individually.
If that doesnt work, try the same thing, but before resyncing, go onto ur desktop and erase that contact from google, re-enter their information and then sync ur phone again.
Let me know if that doesn't work. Like i said, i had to figure this out too