Here’s a sample account ("I Got the Delta Variant") of someone with Delta Variant at home, by Maddy Whitman, a young ICU nurse. I can only presume the fact that it was Delta was verified by a special test.
The video dates to July 19, 2021, and she says she came down with the disease after the first shot, she was partially vaccinated.
She had cough and intermittent fevers between 99 and 101. By about day 7 or so she was out of bed and active but remained in quarantine ten days.
The case would be considered “mild” but clinical. Her blood oxygen remained at 99.