It is well-known that even small perturbations of the DNA sequence can drastically and unpredictably disrupt or alter the fluorescence of DNA-stabilized silver nanoclusters (DNA-AgNCs). Understanding how the structure of DNA affects the nanocluster that it stabilizes is the key to rationalizing such effects. We approach this challenge by strategically modifying the stem sequence of a hairpin DNA that hosts a spectrally pure, red-emitting nanocluster. Most of our modifications (base composition, sequence orientation, and loop location) reduce AgNC fluorescence in purity and shift it in wavelength, but one modification (appending poly(thymidine) to the 3′ end of the stem) is inert with respect to fluorescence. Microfluidic capillary electrophoresis reveals that all of the modifications induce conformational changes of the DNA and that the original, spectrally pure nanocluster exists in two structurally distinct conformations. Interestingly, appending five or more thymidines, despite having no effect on fluorescence, eliminates this structural degeneracy. To explain this result, we propose that the original spectrally pure cluster is stabilized by a pair of hairpins whose stems can arrange in either a cis or transorientation. Finally, we quantify the extent to which thymidine appendages of different lengths can be used to fine-tune the electrophoretic mobility of DNA-AgNC.