Would the questioner be considered sinful for having run into and broken glass doors belonging to a shop under construction, especially since the owner did not demand compensation and she later refused to apologize on the grounds that the glass was placed in the pathway?

The fundamental principle is that whoever damages another's property must compensate for it. If the shop owner placed the glass doors in the pathway, then there is a detailed explanation based on whether the one who placed them had an excuse and did not transgress, and whether the one who caused the damage saw what he damaged. If the doors were placed with an excuse, then the responsibility for compensation falls on the one who damaged them, provided he saw them. But if they were placed without an excuse, then the one who caused the damage is not liable. In the event that the questioner is obliged to compensate, she must compensate the owner of the doors unless he forgives her.