What would happen if a girl from the 1910s refused to wear a corset?
Pretty nearly every woman wore a corset from about 1680 to about 1912. They came in all price points, and could also be bought second-hand if you were really poor. However in the mid-nineteen-teens fashions began to change, becoming looser and more unconstructed. Paul Poiret is the fashion designer credited with inventing the brassiere and "liberating women from corsets". Maybe he did and maybe he didn't, but it was certainly true that some women, mostly young and slender women, stopped wearing them. So in the nineteen-teens your girl who refuses to to wear them is just being fashion-forward. Maybe a bit scandalous, but not indecent or unacceptable in society. Some women had experimented with not wearing corsets as early as the mid 1800's, the so-called "rational dress movement". These women rejected all the fashionable elements of women's clothing including hoops, bustles, and multiple layers of petticoats. They were mostly ridiculed and most of them gave it up. Some did not, and they were regarded as a bit eccentric. But by 1912 it would have been more acceptable, because it was by then cutting-edge Paris fashion to stop wearing your corset.