Your overall point holds that there was China's version of due process and plenty of elapsed time between her capture and subsequent execution. Therefore it was not a summary execution. Nowhere close. Moreover, to call this out is not a nitpick, it's an important factual correction of the OP.
However I would nitpick that while summary executions do include those without due process, the defining characteristic is simply speed. If the execution happened uncharacteristically fast compared to typical executions, even if all due process afford to her was followed, then she was still summarily executed.
Nitpicking continued: As per e.g. Wikipedia definition it refers explicitly to the process (and not the speed): "In civil and military jurisprudence, summary execution is the putting to death of a person accused of a crime without the benefit of a free and fair trial. The term results from the legal concept of summary justice to punish a summary offense, as in the case of a drumhead court-martial, but the term usually denotes the summary execution of a sentence of death."
In practice a free and fair trial can't be very fast though.
https://en.m.wikipedia.org/wiki/Summary_execution