"It wasn't any surprise I just kept fighting". I'm hoping I can channel that all the time, but one day at a time.
"I will try to hold my service games most of the time. But I feel like I'm back".
The way she is striking the ball and moving in her second Grand Slam back after childbirth she would arguably be favourite for the title even with the likes of Garbine Muguruza and Simona Halep still in contention.
That is going to change now.
The American will feature in her 11th semi-final at Wimbledon where she will lock horns with 13th seed Julia Goerges on Thursday.
There were no signs of stage-fright from Giorgi in her first Grand Slam quarter-final as she took the first set. Williams, who missed last year's Wimbledon because of pregnancy, has not lost here since 2014 and has now won 18 consecutive matches on the London lawns.
There was still the odd sign of rustiness - she sent a simple forehand smash into the net in the seventh game of the first set and at times was unable to deal with Rodina's soft serves - but she marched through the match in only 62 minutes and has yet to drop a set at this year's Wimbledon. Things will be expected to be more straightforward for Williams, even though Goerges will enter the match in a winning mood. "Everybody has the same chances to win that match, and I'm looking forward to it".
Rapper friend Drake and fellow singer Justin Timberlake were among those rooting for her on Centre Court.
"It was tougher than the scoreline, " Williams said.
Kerber is a former No. 1 who owns two Grand Slam titles and was the runner-up to Williams at Wimbledon two years ago.
Ostapenko will face Dominika Cibulkova in the last eight.
Kerber needed seven match points to close out No. 14 Daria Kasatkina of Russian Federation 6-3, 7-5 at Centre Court, while Ostapenko defeated 2014 Australian Open runner-up Dominika Cibulkova of Slovakia 7-5, 6-4 on a windy No. 1 Court.
She lost only four points on it in the opening set, all of them in the sixth game when a courageous Giorgi rifled a backhand deep into enemy territory to snatch a break out of nowhere, setting the Centre Court crowd abuzz. In Giorgi, Williams was facing an opponent who was young (26), strong and playing, perhaps, the best tennis of her career.
Even when Serena was on the brink of losing the set, she managed to hit a 122 miles per hour serve, her fastest of the tournament.
He eventually finished off the world No.53 in the third tiebreak to move into his second Wimbledon quarter-final where twice champion Nadal is waiting.