Red Alder - Alnus rubra - is native to the Pacific Northwest of North America. It comes from a wide range of elevations, its range includes small outlier populations in western Montana. So this species comes from a range of habitats, from mild Pacific area winters, to full on Montana, many feet of snow winters. It is a tree that normally would be best grown 100% of the time outdoors.
Since you have it indoors now, and it has started growing, keep it indoors until danger of a hard freeze has passed in spring. Then put it outdoors, and never bring it indoors again except for a few hours to display it, putting it back outdoors, when company leaves.
That is the "secret" with Japanese bonsai. The bonsai trees are not grown in those beautiful display alcoves. The trees are outside, until minutes before company arrives. They are cleaned off and set in the alcove for display. Then right after company leaves, the tree is put back outdoors to grow.
Tree species native to areas with cold winters, will need cold winter rests to remain healthy long term.