Yes, of course. It is absolutely safe, and certainly no less secure than other cryptocurrencies, which in general are known as a safe form of banking. Ultimately, however, these things always depend on which operator you choose, so certainly make sure it is licensed and regulated at a minimum, and uses secure encryption technology for transactions.
Ideally, you would also want the operator to offer the option to complete transactions using the 2-factor authentication method in order to protect them from unauthorised access as best as possible. In addition to a suitable wallet, the Google Authenticator app will be required in this case, which you can download for free from the Google Play Store.
But in any event, with the way crypto transactions are done, including Tether, it’s really going to be enough with an individual wallet address generated for each deposit, to which your payment can be made via your own wallet. Alternatively, you can simply scan the associated QR code that is also displayed in the cashier using your smartphone or tablet, which is also super secure and precise in terms of assuring your money is getting to the right place.