City moved level on points with defending champions Chelsea at the top of the table with a 1-0 victory over their rivals at Kingsmeadow on Friday.
They are trying to win a first league title in eight years, with Chelsea scooping up four successive crowns under manager Emma Hayes.
"I'm really pleased, proud of the players," said Taylor.
"It's a big step for us. We have eight games to go, we're excited about the challenge and it's a big step, but that's all it is. It's three points and we move on to the next."
It was Taylor's first win at Kingsmeadow, a place which he admitted had "frustrated" him. And it came off the back of an ever-improving defensive record as City pick up a first victory here since 2016.
"We are really determined this season," he added. "In the past, our performances have been quite good in certain games that we've lost or drawn but we've been a bit soft in those moments defensively. Now, there's a new-found determination in the team.
"We haven't hidden our ambitions about what we want to do. We go into every competition to win it. What Chelsea built here is what we're trying to achieve but it's really difficult."
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