I agree, aptasia.
These are like ticking time bombs.
Definitely take a course of action to ratify.
I would recommend removing the frag, placing it into a quarantine tank. If the aptasia breaks up, it can spread. A complete QT completely separate from your main display is advisable, but at the least, just seperate the frag from the main water column. You wouldn't need anything big, just a simple container to separate it from the main tank. You could suspend something like a Tupperware container in the tank so lighting and heat wouldn't be additional. Then just do water changes a couple times a week for the little container. Just be sure not to introduce the container water into the main tank.
The best advice for aptasia is don't put it off for later.