a rose, arose

A rose or a rose ( two words ) means one ( a ) flower, the popular flower for gardens or bouquets ( rose ) --
She cut a rose from the garden and put it in a bud vase.
He wore a rose in his lapel, and she carried a bouquet.

Arose or arose ( one word ) is the past tense ( yesterday, or some time ago ) of "arise", an old-fashioned term meaning to get up or wake up --
The big cat arose, and walked slowly away.
He arose at dawn, while everyone else was still asleep.

Arose or arose may also be the past tense ( yesterday, or some time ago ) of "arise", meaning to turn up or appear, as a difficulty or complication --
The project was nearly done when a new problem arose.
We needed a lawyer when complications arose.

Now that you know that, you can say--
"He gave her a rose, hoping she'd forget the doubts that arose while he was away."

a rose, arose

A rose or a rose ( two words ) means one ( a ) flower that grows on a shrub, usually with thorns, often used for cut flowers or perfume ( rose )--
She carried a bouquet of roses, and he had a rose in his lapel.
We planted a rose bush in the front garden.

Arose or arose ( one word ) is the past tense ( yesterday, or some time ago ) of "arise", meaning to spring up; to ascend or to appear--
The balloon arose slowly, and the people below seemed to shrink.
"When out on the lawn there arose such a clatter, I sprang from my bed to see what was the matter."

Now that you know that, you can say--
"A question arose at the meeting, concerning the use of a rose for our company logo."