Flaherty was capped at youth level by Scotland but switched to Northern Ireland at senior level and made her senior international debut in March 2019, starting in a 4-0 win over Kazakhstan in the Alanya Gold City Women's Cup.
She is a member of the Northern Ireland squad who reached a major tournament for the first time in their history when they booked a place in the 2022 Women’s European Championships with a play-off success against Ukraine. Flaherty has also been called-up by Northern Ireland for their FIFA Women's World Cup 2023 qualifiers.
In a Twitter post, Huddersfield Town said: "We can confirm that Becky Flaherty has left the club to join Brighouse. We wish her all the best!"