In 2001, while at university, Jurga Zilinskiene set up Guildhawk under the name Today Translations – for which she was awarded the Shell LiveWIRE Award for Young Entrepreneurs in 2003.

Zilinskiene funded the company with £13,000 of personal investment and it continues to operate without external funding. This example of bootstrapping is rare within the City.Currently, the company has a global network of 3,000 translators and interpreters.

Zilinskiene frequently engages in government and media briefings, as well as forums organised by multinational companies.In 2006, Zilinskiene organised a trade mission with over 20 delegates from multinational organisations such as Merrill Lynch, to seize business opportunities in Lithuania. The trade mission involved Lithuanian parliamentarians and British diplomats, causing international media interest. To mark the success of the trip, Zilinskiene was given a UK Trade & Investment Certificate of Appreciation for her contribution to enhancing international trade by Prince Philip, Duke of Edinburgh.

In October 2010, she was nominated to, and accepted, the Freedom of the City of London at a ceremony in the Guildhall, becoming the first female Lithuanian to receive the Freeman title. She was subsequently recognized as a Liveryman to the Worshipful Company of Fruiterers, one of the City's oldest fellowships. She also sits on the China Interest Group Committee.

In June 2013, Zilinskiene took part in a panel discussion at Forum One in Kaunas, Lithuania, the biggest business leadership event to ever take place in Eastern Europe. The event featured some of the brightest Lithuanian business minds and a special talk by one of Zilinskiene's business idols, Sir Richard Branson.

In recognition of her sustained business success, Zilinksiene was invited to be part of the judging panel for the Shell LiveWIRE Award for Young Entrepreneurs in 2015, the award she herself received 12 years prior.

In September 2016, Zilinskiene was selected to participate in the Goldman Sachs 10,000 Small Businesses initiative aimed at supporting SMEs. She graduated from the programme in the same year. Shortly afterwards Zilinskiene was also invited to attend an Executive Education course at Harvard Business School.

She is regularly featured on BBC television and in the press. Her awards include:

Shell LiveWIRE Award for Young Entrepreneurs in 2003.
UK Trade & Investment Certificate of Appreciation, presented by Prince Philip, Duke of Edinburgh.
Named as one of '100 Lithuanian Women' that Lithuania is proud of in 2018.
Order of the British Empire from Queen Elizabeth II in the 2019 Birthday Honours