Yes, you are pursuing and justifying, unfortunately it is understandable.
No, a woman you wanted to date would not know you were thinking about her unless you intiated something. Again, unfortunate, but this woman already knows you or at least knows you from her perspective and if she wanted to date you or have an R, then there would likely be no S or D.
Her pause was likely her rethinking her yes and also wondering if her going out with you, would it give you some false hope. And the answer is probably yes, because those who are hurt tend to jump on anything.
How not to pursue and yet stay in contact? Ah, a continuing paradox?
If we knew this, we would sit behind the big desk and people would pay big money to talk to us.
I can tell you I am no longer married, but I do not call her unless it involves the children or schedules. She calls daily to talk the children, sometimes more than once a day. Do I question to myself her sometimes weird reasons for calling? Absolutely. Does this change anything? No.
Maybe go back to Michelle's theory of projecting a positive outcome. And try not to overthink the problem, this will make you crazy.