Hey Dezmo great question.
There's a variety of reasons people are willing to wait for products. First and foremost, you should never assume every customer thinks like you. They don't, and that's why there's countless dropshipping stores making exuberant sales.
If you build a brand, offer customer support, and really sell the experience you can make the shipping time a non-issue. Not every potential customer is conditioned to expect their orders in a few days.
Also, if you continue to find it to be a major issue, I would suggest sourcing from US suppliers. In the Oberlo marketplace, you can find suppliers in the US who offer USPS and UPS shipping which is much faster. After seeing so many successful dropshipping stores sourcing from China, I truly don't think it's necessary. But, if this calms your fears, I would suggest looking into it!