Before that she was the Deputy Head of Mission at the Swedish Embassy located in Bangkok.

[1] Schlyter graduated from the University of Stockholm in 1984 in French language and literature.

In 2010 and 2011, she briefly worked at the Swedish embassies in Ottawa and Mexico City.

From September 2001 to August 2015, she was head of the Human Rights and Social Affairs section of the European Union delegation to the United Nations.

From August 2015 to September 2017, she was deputy head of mission at the Swedish embassy in Bangkok, Thailand, and in September 2017 she was appointed as Sweden's ambassador to Dhaka,[6] succeeded by Alexandra Berg von Linde in 2020.