It's challenging to interpret someone's intentions with certainty, especially from a brief interaction. However, there are a few possibilities to consider:
Just being nice: She may genuinely be trying to be friendly and accommodating by offering to lend you her brother's book and suggesting a reschedule if you're busy. It's possible that she has moved on from the incident two years ago and is willing to maintain a friendly relationship with you.
Wanting to reconnect as friends: After two years, she might be open to reconnecting with you on a platonic level. Lending you a book and suggesting a reschedule could be her way of expressing an interest in rekindling a friendship.
Potentially giving hints: While it's less likely, there's a chance that she could be dropping hints or testing the waters to see if you are still interested in pursuing something more than friendship. The suggestion to reschedule might imply that she would like to spend more time with you.
To gain a clearer understanding of her intentions, you could:
Have a candid conversation: If you feel comfortable, you can talk to her directly and express your feelings or concerns. Ask her about her intentions with lending the book and see if she provides any further insight.
Observe her behavior: Pay attention to her actions and how she interacts with you in other situations. This might provide clues about whether she is interested in something more or just maintaining a friendly connection.
Take it slow: If you're interested in exploring a potential romantic relationship, take things slow and gauge her reactions as you spend more time together. Respect her boundaries and ensure that she is comfortable with any progress in your relationship.
Remember that each person is unique, and there's no one-size-fits-all answer to these situations. Being respectful, honest, and communicative will help you navigate the situation with maturity and sensitivity.