In principle, it's simple: people pay you USD for Tether, you charge them a small percentage fee, put the remaining USD in a reserve account, and issue the buyer a corresponding amount of Tether. You do the reverse to buy Tether back from people.
For the trust issue, you get a reputable company to audit your reserves and Tether/USD transactions.
If you do this, no defense of anything is needed - if someone wants to sell Tether, they can always come back to the company that issues it and exchange their Tether for some of the dollars in the reserve account at an exchange rate of 1:1 minus fees.
In practice however, the auditing and transparency for Tether is not sufficient to be sure that this is what's actually happening. So the "having people believe you" part is definitely an issue right now.
> Even the Bank of England failed to maintain the peg to the German Deutschmark some years ago.
That's not the same kind of peg, at all. A Tether is just supposed to be a proxy for a USD. The pound and Deutschmark were two otherwise completely independent currencies, so the idea of pegging one to the other was dubious to start with. Here's a brief article which covers some of the issues with that peg: https://www.investopedia.com/ask/answers/08/george-soros-ban...