en.javascript.info/2-ui/1-document/07-modifying-document/12-sort-table/solution.md

The solution is short, yet may look a bit tricky, so here I provide it with extensive comments:

let sortedRows = Array.from(table.tBodies[0].rows) // 1
  .sort((rowA, rowB) => rowA.cells[0].innerHTML.localeCompare(rowB.cells[0].innerHTML));

table.tBodies[0].append(...sortedRows); // (3)

The step-by-step algorthm:

1. Get all <tr>, from <tbody>.
2. Then sort them comparing by the content of the first <td> (the name field).
3. Now insert nodes in the right order by .append(...sortedRows).

We don't have to remove row elements, just "re-insert", they leave the old place automatically.

P.S. In our case, there's an explicit <tbody> in the table, but even if HTML table doesn't have <tbody>, the DOM structure always has it.