Answer: Jealous
Step-by-step explanation:
The Speaker does not understand why Alice outperforms her in academics even though the Speaker works harder than Alice. The Speaker also believes that they write better than Alice does.
We can infer that the Speaker believes that they are superior to Alice which is why the Speaker cannot understand why they are lagging behind Alice. It can therefore be said that the Speaker is jealous of Alice and want to outperform her.