Enough Time to Conquer Taiwan?

Al Qaeda erupts in northern Iraq and captures Mosul on June 9th. On June 19th, President Obama announces we will send forces to help Iraq. Has China counted the days it took us to decide to react to a threat to a friend?

Because I'm thinking that if China has two weeks to invade Taiwan free of American intervention, China has a shot at conquering the island.

Ten days to decide to intervene is too much if applied to a Chinese invasion of Taiwan.

Could We do better over Taiwan?

Does China think we could decide faster than we just decided on Iraq, where we fought for 6+ years?

I know, I worry about odd things.