Gilmour began the third day at the Copper Box at the Queen Elizabeth Olympic Park with a second-round upset in the doubles with fellow Scot Jillie Cooper.
They defeated German second seeds Johanna Goliszewski and Birgit Michels 22-20, 21-11 with Gilmour returning to the court little over three hours later.
That was for her second-round clash with Maria Febe Kusumastuti in the singles draw, the 20-year-old a 21-9, 21-14 winner over the Indonesian in just over half and hour.
Gilmour will now face both Sayaka Sato in singles action and Danish pair Line Damkjaer Kruse and Marie Roepke in the doubles with Cooper on day four.
And Gilmour admits that her fine run into two quarter-finals at the London Grand Prix has her confident she can progress even further in the capital.
"I knew the singles match was going to be a tough one," said Gilmour. "But I managed to get my head in the right place and do the job quite efficiently.
"I'm really, really happy with the way I'm playing right now. Hopefully I can carry it on and hopefully get another two wins."
Sato defeated England's Sarah Walker in her second-round clash however there were two wins for teammate Heather Olver in the women's doubles and mixed doubles.
She combined with Kate Robertshaw to beat Porntip Buranaprasertsuk and Busanan Ongbumrungpan in the women's while she succeeded with Chris Langridge in the mixed.
They overcame English teammates Andrew Ellis and Lauren Smith while counterparts Peter Briggs and Harley Towler have reached the men's doubles quarter-finals.
© Sportsbeat 2013