The 27-year-old Dart defeated Maria Timofeeva of Russia in her second qualifying round.
The second-ranked player in the UK overcame a set deficit to win 4-6, 6-3, 7-5, and advance to play Cristina Bucsa of Spain in the opening round.
On Wednesday, Raducanu’s first-round opponent will be Maria Lourdes Carle, a qualifier from Argentina.
Karolina Pliskova, the former world number one, was scheduled to play the 21-year-old in the opening round of the competition, but Pliskova withdrew due to a wrist injury.
The 27-year-old British champion Boulter will not play in the first round and instead face the victor of the match between Russian Elina and American wildcard Robin Montgomery.
