In my opinion, if you "both" met at the wrong points in your life at the beginning of November, then you "still" are at the wrong points of your life now at the end of November.
Obviously there are alot of issues on hand for you at present, family, job, maybe even past baggage who knows but she knows it's there and I suspect this is what caused the ending of the beginning between you two or else she wouldn't have texted that comment of "hope things are getting better".
A few weeks is nothing. The fact that you still see her out and about, the fact you are stubborn is the reason you want to do something, as you don't like the tension however, your focusing on the wrong things. You need to sort out the problems you are facing so that there is no tension because then, you can get rid of the monkeys on your back, feel less stressed and actually smile at her. Which can lead to further conversation at that point including "yes, things are now looking up".. Who knows what may happen from there.
Give it a little time and concentrate on your issues at hand... then approach her and tell her face to face, "you are sorry".