She appeared to briefly flare up when asked about her future and said, "Don't worry about me."
Trierweiler, who went ahead with her India visit despite the weekend announcement of the separation by Hollande, said fight against hunger and malnutrition was a cause "close to my heart" and did not directly answer questions about the scandal.
"I have time, there are some years to come. I will see bit by bit. For now I am not foreseeing anything. In any case, don't worry about me," Trierweiler, 48, told a reporter at a media conference for the launch of charity Fight Hunger Foundation.
A French magazine had published news and photos of Hollande visiting the actress for a secret tryst on a scooter.
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A distraught Trierweiler was hospitalised for a week after the scandal became public and was later resting at a presidential retreat before embarking on her visit to India.
Though the couple started living together after Hollande's split from Segolene Royal, a Socialist party presidential candidate in 2007 who was defeated by his predecessor Nicolas Sarkozy, the couple never married.
Trierweiler assumed responsibilities of the first lady after Hollande's election in 2012.
"This visit has been in my diary for the last six months and we have been planning it for the last year. I wouldn't have missed it for the world," she said, putting up a brave face.