Earlier quoted context omitted.
A rival for hegemony in the Asia-Pacific (APAC) region. The current hegemon in this region is the US. It is the strongest APAC power by far due to its numerous military bases as well as its network of strong allies (Australia, New Zealand, Japan, South Korea). China seeks to displace the US as the hegemon in APAC. Naturally, the current hegemon doesn't take too kindly to that. So they view China as a rival.
What about the rest of the West
Large, strong countries do what they want and small, weak countries do what they must. That's the way it is and the way it's always been.