The phrase "achieved her first" is correct and usable in written English.
It can be used when referring to someone accomplishing their initial milestone or success in a particular area, such as sports, academics, or career.
Example: "After years of hard work, she finally achieved her first championship title."
Alternatives: "reached her first" or "attained her first".
Back in the United States, she achieved her first commercial success.
Cyrus achieved her first UK No 1 single during the Summer with "We Can't Stop".
This impressive string of successes began at the tender age of six when Grace achieved her first major triumph: She successfully completed treatment for acute lymphocytic leukemia (ALL).
In fact, Gilman achieved her first success as a poet, with a sparkling verse satire, Similar Cases, published in the Nationalist in 1890.
Later in 2011, in the 200-metre backstroke at the short-course World Cup meet in Berlin, she achieved her first world record (2 min 0.03 sec).
It was a breakthrough role for her (the same applying for co-star Rachel McAdams), but it wasn't until 2008 that she achieved her first lead.
What had been touted as a weak year for female performances ended up delivering a brace of unexpected nominations, including Rosamund Pike for Gone Girl, Emily Blunt for Stephen Sondheim musical adaptation Into the Woods and Helen Mirren, who achieved her sixth nomination for the otherwise fairly forgettable gastro-romance The Hundred-Foot Journey.
The event was won by Paralympic legend Natalie Du Toit of South Africa who attained the 11th Games gold of her career, whilst USA's Jessica Long achieved her eighth, by defending the S8 100m butterfly title she won in Beijing.
Ross' final single with Motown during her initial run with the company achieved her sixth and final US number-one Pop hit, the duet "Endless Love" featuring Lionel Richie, whose solo career was launched with its success.
On 23 August 2009, Feng achieved her second Pro Tour singles title at the KAL Cup Korean Open in Seoul.
But after achieving her first multiple-victory season and becoming the top-ranked American, Lewis confessed that she had punched through her goals already — and it was only June.
