But Raducanu took control of proceedings when she broke the Mexican's serve in the sixth game of the second set to put her on the cusp of victory. An overhit backhand from the Mexican on match point proved enough to ensure Raducanu's passage into the second round where she will face Elise Merten.
"For the past three days, I've been playing and setting up practice for similar opponents and then it is a change of plan," Raducanu told the BBC.
"It took a little bit of adjusting and finding my feet. But I'd like to thank everyone for their support in the crucial moments. I enjoyed playing back here."
Earlier on Monday, British women's No. 6-ranked Heather Watson was knocked out, losing her first round match against Belgian opponent Greet Minnen in straight sets.
Watson, who was given a wild card to play in her 14th Wimbledon, was no match for the world No. 80 as she was beaten 7-5, 6-4.
The match lasted an hour and 40 minutes in front of a capacity crowd at Court 18. Watson rallied in the first set to recover from a slow start to the match but ultimately Minnen forced her way into a set lead.
Emma Raducanu won in straight sets at Wimbledon on Monday. John Walton/PA Images via Getty Images
The second set went with the serve until Watson double-faulted, bringing up match point for Minnen who made no mistake as she booked her place in the second round.
Elsewhere, Liam Broady lost to Botic van de Zandschulp in the men's singles on Court 12 as the British 30-year-old failed to make a run at the championships. He reached the third round in 2022 and 2023.
