Halep finally seemed to get on the scoreboard after she earned her first game point in the match, but Wozniacki was just too solid as she sealed the first set 6-0 against the current top-ranked player.
The Dane started her fifth appearance at the eight-woman event with a 6-2 6-0 victory over Elina Svitolina and followed up with a 6-0 6-2 win over world number one Simona Halep on Wednesday. The wall that the Dane often puts up at the back of the court, thanks to her stunning defence, is proving as impenetrable as ever here.
"Today was a bad day for me", Svitolina said.
"The loss of the first set was very hard because I had some chances and some set points, but sometimes you have to just let it go and keep going. Also, the court is a little bit slow and I just felt heavy", she added. "I think it's just a nice cushion to have". "I'll try to forget this day and try to play my next game as if nothing had happened", said the Ukrainian, dépitée.
The second was more competitive but Halep struggled to contain both the brilliance of her opponent and her own negativity and succumbed rather meekly.
Elina Svitolina is coming off a three sets loss to Caroline Garcia that took 34 games to decide.
The night belonged to the two debutants in a see-saw battle of wills in the second match.
Halep was unable to turn the tide in the second set, with the Romanian ultimately falling to a 6-0, 6-2 loss to her rival, having been broken five times in the match.
An emotional Garcia was reduced to tears during the second set after calling for her father and coach, Louis Paul, for some words of inspiration and fought back to force a deciding set before getting herself out of a hole to stay in the hunt for a semi-final spot. Today was such a battle, so I'm very happy to be through with a win.
In obvious contrast, Garcia latched back on to the self-belief she had in her run up to the tournament - two big wins on her side, and there was of course no shame to losing to the World No. 1 in her opening round.
"So I know this was my chances, so I went for it". "It's often like this and I tried to improve this part of myself. I was patient on the long rallies, and it makes the difference". I went couple of times to the net, but I got passed so many times. Wozniacki & Garcia are scheduled not before 4pm (9am BST) on Friday, with Halep & Svitolina not before 7:30pm (12:30pm BST).