Country's white-ball skipper Eoin Morgan and wicketkeeper-batsman Jos Buttler are under investigation by the ECB after their tweets, mocking Indians, surfaced on the social media on Wednesday.
The ECB suspended Robinson from all international cricket last weekend pending the outcome of a disciplinary investigation into his Twitter posts, which were made in 2012-2013.
Robinson, 27, was the pick of England's bowlers in the drawn first Test against the Kiwis with seven wickets in the match and had released a statement on Wednesday apologising for his "thoughtless and irresponsible" tweets.
Debutant Robinson, 27, was the pick of England's bowlers with two wickets on the opening day of the first Test against New Zealand, but his day turned sour when his tweets from 2012-2013 went viral on social media.
The 20-year-old joins her T20I skipper Harmanpreet Kaur, vice-captain Smriti Mandhana, opener Shafali Verma and all-rounder Deepti Sharma in the 100-ball tournament.
The BCCI is looking to stage the remaining 31 matches in the UAE soon after Virat Kohli's men finish the series in England on September 14 and before the start of the Twenty20 World Cup in mid-October.
British media had reported about a possible approach from the BCCI to advance the first Test, starting August 4, by a week so that the remaining 31 matches of the League could be held.
The England and Wales Cricket Board has put its foot down in favour of international cricket, ruling out the possibility of English cricketers playing in the remainder of IPL 2021.
Archer's absence dealt a major blow to Royals who also had England's Ben Stokes ruled out for the season after the all-rounder broke his finger in their opening match.
The ICC expressed confidence in staging the WTC final in a bio-secure environment.