I am not using web wallet much, unless I am in need of some quick money to cash. That's why I was having a little BTC to my coinbase wallet. Yesterday, when I sent ~0.06 BTC which I was holding there for a long time, they didn't send it instantly. They emailed me that it will be delayed since they need to check the transaction for some reason.

Your fund, you are giving power to others to control = web wallet = BANK
Stop using web wallet, get rid of being controlled by others.