You are correct, a JavaScript comment at the top of an HTML file is not valid syntax. Here is the file `index.html` properly delivered in a code block:

```html
<!DOCTYPE html>
<html>
  <head>
    <title>Cooking Website</title>
    <style>
      #menu {
        display: flex;
        justify-content: flex-end;
        align-items: center;
        background-color: #8bc34a;
        padding: 10px;
      }
      #menu a {
        padding: 10px;
        text-decoration: none;
        color: #333;
      }
      #menu a:hover {
        background-color: #689f38;
      }
    </style>
  </head>
  <body>
    <div id="menu">
      <a href="html/favourite-recipes.html">Favourite Recipes</a>
      <a href="html/favourite-cooking-websites.html">Favourite Cooking Websites</a>
    </div>
    <div id="main">
        <h1>My Cooking Website</h1>
    </div>
  </body>
</html>
```
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