"Hi, for anyone who saw my set at All Things Go today, I am doing OK now," she wrote on Instagram.
"Thank you for all of your support, Lola."
Videos posted on social media of her performing Conceited from her second album, This Wasn't Meant For You Anyway, show her looking uncomfortable on stage, before collapsing backwards to the ground.
Earlier in her set Young told the crowd she had "had a tricky couple of days" due to a "sensitive matter".
She added that "sometimes life throws you lemons" but you have to "make lemonade".
The south London singer had previously cancelled a performance at New Jersey's Prudential Centre on Friday.
Taking to the stage to perform after Young, rapper Doechii got the crowd to shout "we love you Lola" in a display of support to the artist.
Doechii called her "an incredibly talented artist" and pointed out she wasn't feeling well prior to her performance.