Q.Are Eucalyptus Trees Evergreen
I would like to plant a tree close to my front door and I like the smell of the Eucalyptus tree. I do want an evergreen tree that won’t get too wide and that I can keep somewhat shaped. I have a rather large Japanese Red Maple plant in the same area and the Eucalyptus tree would be planted behind it, next to the house.

If you are in Zone 7-11, it is an evergreen. If you do not know your planting zone, refer to this link.
http://www.ces.ncsu.edu/depts/hort/consumer/weather/hardiness_zones.html