If iphone 5s unlock version which order from apple activated by T-mobile card can be used in China

Question

I ordered one T-mobile contact free Iphone 5s in apple online store recently, but I activate the iphone by the T-mobile card which install the iphone auto., not by China's network carrier card, so I want to know if iphone 5s unlock version which actived by T-mobile card can be used in China ?

Answer 1

You have already activated the phone with the T-Mobile sim card in it, which is why the phone has become locked to T-Mobile and whilst the phone is locked to T-Mobile, there is no way to re-activate it with another sim card.
It is not silly at all and this is where you needed to have done your research in full and ask those questions about the differences between unlocked phones and sim free/contract free phones and then you would have found this out.
There is nothing else that you can do.  What you need to do is contact T-Mobile in the US and tell them that you purchased the phone from the US Apple store and activated it with their sim card and the phone is now locked and request that they unlock it for you.  They may do it, but mostly they may tell you that you need to wait 40 days before they will unlock the phone for you.  Unfortunately, whilst you wait for the 40 days you won't be able to use the phone and there is absolutely nothing that you can do.
Also, if you are using this phone in Europe why on earth did you buy it in the US?  If you knew that you wanted to use the phone in Europe, why did you not go and buy the phone in another European country?  This would have made more sense, because countries like the UK sell unlocked phones in the Apple store and you will have EU warranty on the phone and you will most likely get 4G too, but with the phone you have now, you have found that you cannot use it and your warranty is only valid for the US and not the EU - iPhone warranty is not international.
There is nothing else that you can do now except contact T-Mobile in the US and request an unlock, but until they will unlock you will not be able to use the phone.