Late Everton strike cancels out Ayane's debut goal
Indeed, the visitors who were only relegated from WSL 1 last season, required an 87th-minute equaliser to earn them a share of the spoils from a hugely entertaining encounter.
Having knocked Bristol Academy out of the FA Cup in midweek, Everton came into the match full of confidence and went on the attack from the first whistle.
The hosts found themselves firmly on the back foot in the opening stages and could well have been behind as early as the third minute when Claudia Walker crashed a thunderous effort off the crossbar.
Manager Dan Mlinar altered his formation with Jordan Butler making her first start of the season at centre-half alongside skipper Dionne Lennon. That switch allowed Naomi Cole to join Grace Fisk in the centre of midfield with the pair tracking back to provide added cover for the back four.
Despite enjoying the balance of possession in the first half, Millwall's resolute defending kept the Everton chances down to a minimum and when called upon, keeper Sarah Quantrill was outstanding between the posts.
A rare defensive lapse allowed Lucy Whipp through on goal in the 25th minute but Quantrill raced out bravely to claim the ball from the forward's toes and prevent a certain goalscoring opportunity.
Ten minutes before the interval, the Lionesses were unfortunate not to gain the upper hand from their first real chance of the game. Lillie Billson's free-kick found its way through to Lennon at the far post but the captain, at full stretch, could not get enough on the ball to divert it home.
A through pass from Billson then sent Ayane clear in the final-minute of the half but the on loan Chelsea forward's finish was just off target.
The visitors may have dominated the first half but the second half was a much more even affair with Ayane in particular unsettling the Everton defence on several occasions.
Visiting skipper Michelle Hinnigan went close on 55 minutes with a powerful drive from distance, while Quantrill got down well at her near post to keep out Whipp's angled effort shortly after.
However it was Millwall who made the breakthrough when, with 62 minutes on the clock, Ayane capitalised on a defensive slip to mark her debut with a goal. Keeper Megan Walsh raced out to clear Frankie Strugnell's long pass, her clearance cannoned off team mate Lindsay Johnson and Ayane was on hand to slot a cool finish into the empty net.
Everton regrouped and pressed hard for an equaliser but the game remained in the balance with the hosts looking dangerous on the counter-attack.
Moments later, at the opposite end Rinsola Babajide lashed a rising drive just over the crossbar as play ebbed from end to end.
Full-back Danielle Turner whipped a 71st-minute centre across the face of goal but none of her team-mates were on hand to apply the finish.
Just as it seemed as if the Lionesses would hold on for the victory, substitute Jess King popped up in the box to stab home an 87th-minute free-kick and claim a share of the spoils.
The result sees the Lionesses remain unbeaten in the League with two points from their opening home fixtures and Mlinar's young side should also take plenty of confidence from another impressive performance into their upcoming away games at Durham and Watford.