Baker Shaw won the Cherokee Nation Tribal Council's At-Large seat in the June 3, 2017 election.[1] She secured a victory with 56.77% of the vote, receiving 847 votes out of the total cast.[1] This margin was sufficient to avoid a runoff election.[1] Her closest competitors in the election were Shane Jett, who received 19.64% of the vote (293 vote) and Linda Leaf-Bolin, who finished third with 11.33% of the vote (169 votes).[1] Baker Shaw was one of nine Cherokee Nation Tribal Councilors sworn into office on August 14, 2017, at a ceremony held in the Sequoyah High School gymnasium.[2] She represented Cherokee citizens living outside the tribe's jurisdictional boundaries as one of two at-large councilors alongside Wanda Hatfield.[2]
Baker Shaw co-sponsored legislation with fellow at-large councilor Julia Coates to provide glasses to at-large Cherokees who have their eyes examined at Cherokee Nation health clinics.[3] She served as chair of the Health Committee, where she addressed the issue of physician turnover.[3] She formed a subgroup that implemented solutions, resulting in a reduction in provider turnover from losing 100 out of 125 physicians in a 5-year period to less than 4% turnover.[3] Baker Shaw supported the launch of cherokeesatlarge.org to provide timely information to the at-large Cherokee population.[3] She did not run for reelection when her four-year term concluded in 2021.[3] She was succeeded by Johnny Jack Kidwell.