Final answer:
After the breakthrough, Annie is offered unsolicited opportunities that may lead to new beginnings much like other characters in different narratives.
Step-by-step explanation:
Helen offers Annie unsolicited opportunities after the breakthrough. This phrase encapsulates the notion that Annie has been presented with chances for change and growth that were unexpected, thereby indicating a new path that Annie can take in her life.
In the passages provided, characters such as Mrs. Penn and Mildred make decisions or encounter situations that lead them to new beginnings or the next phase in their lives. These decisions can be seen as 'unsolicited opportunities' that come from unforeseen circumstances, much like the breakthrough might provide for Annie.
The takeaway from such narratives is that life can present us with unexpected chances to alter our course, and these opportunities can serve as pivotal moments of transformation.