"A fool learns by experience. A wise man learns by other people's experience."

I'm a fool because I always try to figure things like this out for myself. If you're working from home, unless you figure out what you think you need, order it on line, wait for the parts to come in, see if it will fit and finally see if it will work. If it doesn't, you get to go through that loop again. Sometimes the result winds up looking goofy too. In my case, I could usually make that work because I always had a big box of spare bike parts that I could pick from.

On the other hand, if you take it back to the shop where you bought the bike, they may have a stock of stems in various lengths and angles for you to try. If they like you, you may even be able to talk them into giving you a cut rate deal.