Writing prose isn't the same thing as writing a script or describing an illustration- all different beasts! So it's interesting you came to this point when comparing your writing to possible illustration accompaniment. I don't think these are neccessarily the same thing- I do a lot of drawing from prose/novels, and a lot of this is the artist's job to figure out, not for every tiny detail to be spelled out in the writing itself.
I agree with the other commentors, that the main issue bogging down the writing seems to be overwraught sentences, or saying the same thing repeatedly in different ways, or multiple sentences that can be shortened into one.
She glances over at Dusty lying down on a pile of blankets. He seems to be comfortable.
could just be: She glances over at Dusty lying comfortably on a pile of blankets.
The beginning as well,
A woman's eyes slowly open up into an awake, yet dreary gaze. The loud scratches that helped in waking her up were coming from the door.
For one, I'm not sure why you dropped her name, if Wynona is the main character, you should always be using her name. Us getting to know who Wynona is, is way more important than our curiosity of "a woman".
Loud scratching woke Wynona. She peered at the silhouettes of figures clawing bloodstains in the frosted glass pane of her door.
"this happened, and then this happened, and then this.."
In my opinion isn't a bad thing, as long as all the things that happened are meaningful and with reason. Describe the scene as it applies to what is going on, not just generally, and your words will be read with importance.
In your two examples, I really do like the additional internal dialogue added in the second one, I feel it gives a good indication of her tone/personality but overall I prefer the first sample. It's short, sweet, and still explains what is going on. I'm interested to see what this lady and her dog will do, and it doesn't require three paragraphs to get there.
As far as "show, don't tell" I think it pertains more to emotional states. It's less interesting to say about a character "she was sad" than to state her actions and have us infer her distress or mood. It doesn't mean you need to describe the physical characteristics of everything seen, in order to have someone illustrate it.
Overall I'd say to go with your gut, and keep writing! 