Could this be Freezing (Furījingu)?
In 2065, Earth is in the middle of a war with extra-dimensional aliens called Nova. The military develops and trains Pandoras (パンドラ), girls who are able to use special genetic tissue called Stigmata (聖痕, Seikon) to manifest superhuman fighting skills and weapons. Supporting the Pandoras are male partners called Limiters (リミッター, Rimittā), who use special "freezing" powers to limit their opponent's mobility.
The character Satellizer el Bridget fits your description of blonde with glasses:
She appears to fight with a sword:
And she seems to have sexual assault in her past. From the wiki:
At nine years old, she and her mother are taken in by the El Bridgets where she meets her father's wife Olivia and her two kids, Violet and Louis, the last of whom mistreats and then sexually abuses her.
I can’t find evidence that she cannot walk, but I thought it may be episode specific. I saw at least one reference to a fight where another character destroys her legs but apparently they regenerate