Elsewhere in Berlin, world primary Aryna Sabalenka beat Swiss Rebeka Masarova 6-2 7-6 (8-6) in a match that passed off throughout two days.
The Belarusian took the primary set on Wednesday earlier than unhealthy mild pressured play to be suspended.
Sabalenka, overwhelmed by Gauff within the French Open last, returned on Thursday and got here again from a break all the way down to wrap up a straight-set win.
Sabalenka will face Kazakh Elena Rybakina within the quarter-finals after the previous Wimbledon champion beat Czech Katerina Siniakova 6-4 7-6 (7-5).
Marketa Vondrousova, who gained the Wimbledon title in 2023, beat Russian Diana Shnaider 6-3 6-7 (3-7) 6-3.
Elsewhere on the Halle Open, Russian Andrey Rublev was one other huge identify to fall, failing to transform two match factors in a 3-6 7-6 (7-4) 7-6 (8-6) loss to Argentine Tomas Martin Etcheverry.
However German world quantity three Alexander Zverev recovered to beat Italian Lorenzo Sonego 3-6 6-4 7-6 (7-2).