A member of the Civic Democratic Party, she became Deputy Mayor of Prague 8 following the 1998 municipal election.
She became close to the Czech Pirate Party, whose leader Ivan Bartoš suggested her as a possible candidate for the 2018 presidential election.
[7] On 29 November 2017, Holovská filed a lawsuit against the candidacies of Petr Hannig, Marek Hilšer, Jiří Hynek, Vratislav Kulhánek and Mirek Topolánek, requesting these candidates to be disqualified because some MPs and Senators had nominated more than one candidate, in possible violation of electoral law.
[10] Holovská also attempted to run for the Senate during the Trutnov by-election in 2018, but was again disqualified for failing to receive sufficient nominations.
[12] Holovská also submitted candidacy papers for the 2023 Czech presidential election, but was again disqualified.