The poet made this choice so that all readers of the poem can relate with it and think of the task as whatever it is they have to face in their own lives.
"Song of Bravery," by Joyce Sidman, is a poem about making mistakes, failing, and yet keeping on living and trying one's best. The speaker mentions the possibility of never truly becoming the best, the strongest, the greatest, but she also mentions she will continue the face the task ahead of her.
She refers to such a task as "to face the lions," an allusion to people who had to fight lions in arenas in ancient Rome. Of course, this is not meant literally. To face a lion is a way to say someone will face some difficult task.
And what could that task be? The speaker does not tell us, and the reason for that is probably so that readers can relate with it. Whatever it is that we, the readers, have to face, we will do it bravely, like the speaker.
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