kk2017, if your outdoor overnight temps are already above 50F and higher, it is safe to be moved outdoors but position in part shade first, I find in an area where it gets eastern sun exposure is really good for cuttings. Then once those leaves are out and actively growing it can take more direct sun head on. But what you have to protect it from is rain, no viable roots, it will easily get rotted base.
But got to reiterate, to help that cutting much better, just cut off the bloomstalk so it can concentrate on root development on this first year.
You can also try providing a heating mat, so the warmth at the bottom encourages root development too if you want.
