Wilson will be replaced by Tasmania-based player, Emily Smith, in Saturday night's match against the Adelaide Strikers.
Chasing 100 runs to win in 11 overs in the rain-hit match, 17-year-old right-handed opener, Shafali Verma, fell for 8 (10 balls, 1 four) in the fourth over.
The convictions related to 40,000 images found on devices in his airport luggage and at his home in Sydney.
Hannah Darlington stands in for Rachael Haynes, who has decided to withdraw from the entire WBBL, post the birth of her son, Hugo. Darlington is the youngest captain in the competition's history.
Sydney planned to reopen on Monday after 70 per cent of the New South Wales state population aged 16 and older were fully vaccinated.
Stay-at-home orders are set to be lifted in Sydney and surrounding New South Wales when the double-dose vaccination rate hits 70 per cent.
Sydney Thunder coach Trevor Griffin said that his team's title defence had received an extra edge with Indian superstars Smriti Mandhana and Deepti Sharma signing on for the club's WBBL|07 campaign.
The government on Thursday outlined plans to ease restrictions in Sydney, which has been locked down since June, but it also warned that COVID-19 hospitalizations won't plateau until next month.
Sydney Thunder named left-handed batsman Usman Khawaja as their skipper for the upcoming edition of the tournament.
State Premier Gladys Berejiklian says the slight easing of restrictions is coming because the state reached 6 million vaccine doses in a population of 8.2 million.
Brathwaite said that returning to one of his favourite cities, with great teammates and wonderful fans was all too appealing an opportunity to pass up.
New South Wales state, which includes Sydney, reported 642 locally acquired infections in the latest 24-hour period, the fourth consecutive day of tallies exceeding 600.
Australian Capital Territory Chief Minister Andrew Barr said the lockdown would last until all new cases had been in isolation throughout their entire infectious period.
Melbourne's sixth lockdown will be extended for a second week until the end of Aug. 19, the Victoria state government said on Wednesday.
With the virus continuing to spread through Sydney's sprawling suburbs, state Health Minister Brad Hazzard expressed frustration that people appeared to be ignoring restrictions.