Early in her senate term, she advocated for more affordable homes for Tasmania,[5]spoke against an $18 million dollar personal grant for the Governor-General,[6] helped retain the Australian Wine Tourism and Cellar Door Grants program,[7] and advocated for a review into aged care facilities in Tasmania.

During July 2024 and August 2024 she has been campaigning to keep small childhood day care facilities open and has called upon both federal and state governments to sort iron out regulation loophole.

[9] On 21 August, 2024, Tyrrell was asked to chair one of the Australian Senate committees, heading an enquiry into the effectiveness of the Tasmanian Freight Equalisation Scheme.

[11] The Legalising Cannabis Bill 2023, introduced by the Australian Greens into the Senate in 2023, was put to a vote in November 2024.

[15] Under the Australian Senate electoral system, only registered political parties are able to have a name and logo appear above the line on the ballot paper.