Fertilize your Queen Anne palm with a fertilizer that contains manganese. You will only need to do this twice each year, once in early spring and again in early fall. Make sure you follow fertilizer directions so that it works efficiently.
Make sure your Queen Anne palm is getting plenty of sun. This is important because the Queen Anne is a tropical plant. If your Queen Anne palm is still young, and you see it isn't getting enough sun, you will need to transplant it to a place where it will get full sun.
Water your Queen Anne palm generously three times per week during the spring and hot summer months. During the fall and winter, twice per week is enough.
Keep an eye out for pests. The palm leaf skeletonizer and scale are commonly found on the Queen Anne palm. Fortunately, these pests are easy to get rid of. Just squirt them off the palm leaves with a hose.
Prune the fronds on your Queen Anne palm only a little bit at a time. Too much pruning will cause the tree to grow slowly.