matching ceiling and or wall texuring is very difficult and sometimes its impossible to match the original artist or texturer.
Popcorn or accoustical is even more difficult. I am assuming that this is NOT popcorn but a crowsfoot or something like that.
Patches always show unless you are a professional or with alot of experience.
If its a small ceiling and you have the time, I would recommend re floating the entire ceiling with new mud that is slightly watered down. Apply it with a heavy heavy Knap roller. The roller is the vehicle for applying it to the ceiling, then once up there, get a nice comfortable float or trowel and smooth it out all over the ceiling. What you want here is to smooth out the hills and valleys for a skating rink smooth surface. Let dry for 24 hours.
You may need to lightly sand to get off any swirls. Now, apply another coat the same way if you want and then smooth it out and this time with your crows foot texturer or sponge or what ever your using, make your texture on this surface. Let it dry for 24 hours.
Prime and seal this new surface and then apply your finish coat or coats.
Since compound does shrink, you may need to make two coats of smooth surface before you do the texturing, but make sure you let it dry between applications.
Forgot, be sure to tarp out the area since working above the head is very messy. Wear a hat, glasses, and a kerchief.