Based on the information in this Missionary Clothing section of LDS.ORG, here are some examples that I have found of shirts that would NOT be appropriate for LDS missionaries (IF worn as-is): And here are a few more examples that are specifically focusing on the sleeves
Your princess will enjoy wearing it because it looks beautiful and feels comfortable
quality is wonderful) They also have some lace tops, but not any like the ones you've posted
The kurta boasts a mandarin collar and full sleeves, and comes complete with a bottom
A blush pink maxi dress in chiffon, satin, or lightweight cotton creates a romantic base, and the white boots add a fresh, modern contrast that keeps the outfit from feeling too precious
Intricate gold kamdani work adds a touch of opulence