American striker Fishel got Chelsea's campaign for a fifth title in a row underway when she headed home a cross from Niamh Charles in the 28th minute, and Charles supplied another superb assist for Lauren James to make it 2-0 in the 51st minute.
Martha Thomas threw Spurs a lifeline by poking a loose ball past Zecira Musovic in the 76th minute, her first goal for her new club, but Chelsea held firm to take all three points at Stamford Bridge.
Across London, Arsenal may have set a WSL crowd record of 54,115 at the Emirates, but the vast majority of those fans went home unhappy after Miri Taylor got the only goal to give Liverpool, who didn't manage a single away win last season, a shock 1-0 victory.
The attendance broke the previous record of 47,367, also set at the Emirates when Arsenal beat Tottenham 4-0 in September 2022.
Manchester City survived the sending-off of Leila Ouahabi to cruise to a 2-0 win away to West Ham United, while Norway's Elisabeth Terland struck twice as Brighton & Hove Albion also won on the road, beating Everton 2-1.
Despite getting the opening goal through Carrie Jones, newly-promoted Bristol City got a taste of the hard road ahead as they were beaten 4-2 at home by Leicester City, who finished 10th in the 12-team league last term.
