To be precise,
The beauty of dropshipping is not having to stock the items and directly having the purchase order from your customer shipped directly from your supplier/distributor. It's convenient because of not having overhead, as well as saving extra $$ and some time by not having to package the goods/item yourself or whoever you employ. However, dropshipping has its cons as well.
The supplier might not always be faithful and not exactly ship out the product the day it should go out. Since you are now relying on your supplier to ship out the product, it's up to you to make sure they ship out on time. The other possible issue can be is if you ship items that have a lot of different shipping fee variations. You may charge your customer $10, but realize that your supplier charged you $12 to ship the item. Dropshipping benefits for whether your supplier is out of state, or if you are on a budget to stock items. The downside is just having to be the middleman by relying on someone else to be responsible for the goods to make sure your customer receives it.