God bless you for understanding this, because I sure as heck don't. I thought BTC was anonymous, and I didn't think I was putting myself and my BTC address at risk by sending BTC to another address. If that's what you're saying, I'm nervous.
Errr... whoever told you bitcoin is anonymous was joking, because that's funny. It may be anonymous to regular folks, but it is NOT anonymous to governments with really powerful computers. Your spending patterns are as unique to you as your fingerprints. Human beings are creatures of habit. Let's say that you hypothetically enjoy delivery Chinese food with expensive liquor while watching heavyweight championship boxing. Prior to getting involved with bitcoin, your credit card transactions show that these are your preferences. Now, you are trying to stay hidden and use "anonymous" bitcoins to make your purchases instead. There is going to be a world heavyweight boxing match tonight so you run out to the local liquor store and buy a bottle of Dom Perignon, go home, and then order some delivery Chinese food, all with bitcoin. Your government's computers pick up this spending pattern on the blockchain, hack into Mr. Wok's servers and BAM! They've just located you. Most merchants have their wallets with coinbase or bitpay to isolate themselves from exchange rate risk and messy tax filings. That's how the government gets their hands on most merchant's bitcoin wallet addresses.
Or you like French food, expensive liquor, and buy a lotto ticket every Friday night at your local convenience store. All they'd have to do to catch you is wait for you at the local convenience store on Friday night.
Or... you get the picture.
If you were religious, I'd say that bitcoin is the mark of the beast!