Your pronunciation of 'chew' is fine, but I can't hear the 't' in 'true'. It's a difficult word to say clearly, even for English speakers. Try to get the 't' sound by relaxing the tongue, instead of pulling it back as you do for 'ch', and then you just make a short 't' before closing your lips for the 'r'. I don't think it's that different from the 't' in Chinese e.g. tian.
You have the same combination of 't' and 'r' in words like 'train', 'try', 'trim, 'translate', and 'transport'.