Answer: not that it would injure me, but it might embarrass them
Explanation:
I couldn't get the passage or text where this came from but I'll still like to help.
The option that best describes Douglas writing style of showing both negative and positive points of view is "not that it would injure me, but it might embarrass them".
The positive view is that there won't be any injury to the writer. In this case, the writer is not negatively affected. On the other hand, the negative point of view is that others can be embarrassed. Embarrassing other people is something negative. .
Therefore, the option chosen has both positive and negative impact unlike other option.