The 17-year-old, who began competing at senior in March 2015, was one of six British players to receive a wildcard entry to the tournament.
Swan is currently ranked 437th in the world but is regarded as Britain’s best young prospect.
The Bristol-born star grew up in Abbots Leigh and attended The Downs School and Bristol Grammar, before relocating to Kansas in the United States in 2013.
With 18th birthday still nine months away, Swan is still legible to play junior tennis for another two years but has already dipped her toe successfully into the senior game.
In January, she received an invite from Judy Murray, who she first met a national training camp for 10-year-olds, to replace bedridden Johanna Konta in the Fed Cup team – becoming youngest Briton in history to compete in the competition.
Wimbledon offers a different challenge and another step on the progression ladder for the youngster, and Babos will prove a tough opponent.
The Hungarian is ranked 44th in women’s singles and has reached the second round of Wimbledon twice in four appearances.
However, as proved with Iceland defeating the England football team at Euro 2016, hunger and desire go hand-in-hand when it comes to success and Swan seemingly has those in abundance.