Checking sources is important, but checking them WELL is far more important.
Go to the international students section in the Yale admission page. It is clearly written over there,
" However, there are two exceptions to this:
....students may use completed A level results as a SUBSTITUTE for SAT II, on a one to one basis...... "
Got it now?
You can use your results in A level, that too on only TWO subjects as a substitute for SAT II, as it states a 'one to one' basis. Their requirements are easier than people like you think.
Heck, the exceptions also states students from China do not have to give SAT or ACT at all.
Next time, please make sure to read everything very well before coming to a hurried conclusion like this.