What is required of a woman who was injured in an accident and fell into a coma for one month and five days, and then for three months was unable to perform the prayer properly?

The correct view is that whoever is afflicted by an accident to the point of losing consciousness is not required to make up (the prayers), as this falls under the category of the insane and the imbecile. However, if the unconsciousness lasts for two or three days, then it is more akin to being asleep or in a coma, in which case one must make up (the prayers).