[5][6] The youngest of four siblings in her family, Veda started playing street cricket when she was 3.

[10] Realising her talent, the institute's director Irfan Sait urged Veda's father to shift her to Bengaluru to further hone her skills.

[15][16] In October 2017, she was signed by the Hobart Hurricanes for the 2017–18 Women's Big Bash League season.

[17] For the 2021 senior domestic one-day trophy, Veda was named captain of Karnataka and led the team all the way to the final, where they lost to the Railways.

In December 2023, she was signed by Gujarat Giants at the Women's Premier League auction, for the 2024 season.

Meanwhile, her T20 debut for India was in a match against Australia in the Natwest T20 Quadrangular series at Billericay, on the same tour of England.

[23] In the final league match of the 2017 Women's Cricket World Cup against New Zealand, Krishnamurthy came to bat in the 37th over.

[26] In October 2018, she was named in India's squad for the 2018 ICC Women's World Twenty20 tournament in the West Indies.

[29] In September 2022, it was announced on Veda Instagram account that she engaged to cricketer Arjun Hoysala.