"She also has bad eyesight and does not like touch."
Is there any way you can get your mom into an Apple store so that she can view the screen on the new iMacs?
She may find the pixel size is so small, that text will be difficult for her to read.
If this is the case, I can suggest an alternative.
That would be the Mac Mini, coupled to a "medium resolution" monitor such as the Dell S2740L. This is a 27" monitor, but it has the resolution of a standard 24" monitor. What this means is the pixels are larger (.311" on the Dell, as opposed to .230 [approximately] on the iMac display).
This may not sound like much, but the larger pixels will make "readability" at normal resolution MUCH easier for someone who is visually impaired. The med-rez screen may look "grainy" to you, but it will look GOOD to her.
Just something to think about.
Might also want to look at the Accessibility options on the mac.
Theres also a very good siri equivalent that lets you use voice commands to do quick and easy tasks.