I usually look up the transaction ID in a block explorer to confirm that it has been broadcast and all looks as expected.* If it does, then we're all good. As long as you double check your address and amount before hitting send, you have nothing to worry about. A hardware wallet might help you with this if you don't already have one, since the address and amount are displayed on its screen, and you have to confirm them there before the transaction will send.

Why do you get concerned about the wrong address? If you are typing it by hand, know that if you make a small mistake, you will almost certainly end up with an invalid address, which your wallet won't let you send to. If you are copy and pasting it, then you are only at risk if you have clipboard malware which will change the address (usually very noticeably) to a different one. As long as you double check the address you have entered with the one you want to send to as I said above, you will be safe.

*I prefer blockchair.com or blockstream.info, since they both support Segwit addresses and both show fees more accurately in vBytes rather than bytes.