By default, the Go password prompt is trigger by a hotkey. This approach is taken so visitors are not hinted that the page they are viewing is editable.
You can however, create a visible trigger link for the Go edit password prompt by adding a data tag of "go-password" anywhere on your page.
For example, this code snippet below will trigger the Go password prompt when added to a page.
<div data-go-password>Edit Page</div>