I assume that there is no leak or water inside the ama. If there is, then that needs attention right away.
Otherwise, it's normal for the leeward ama to become submerged in high or gusty winds for a period of time. The force that the wind applies to the sail is transferred to the hull via the mast which, in itself, is a lever. In addition to propulsive forces, there are also significant lateral forces. The ama is there to counteract that force and keep the boat from capsizing. The stronger the wind, the stronger the lateral force, and the more the ama will be forced into the water. However, just because the ama may become intermittently submerged, does not necessarily mean that the TI is about to capsize. It usually takes winds or gusts exceeding 20 to 25 knots before that might happen. A good TI sailor should reef the sail as soon as possible after observing the ama being too overwhelmed or when winds become too strong. Once the sail is reefed, the ama should recover quickly.
Please keep in mind that the TI is just a light-duty sailboat. It is not meant for conditions such as when a Small Craft Advisory has been issued. That would generally be 20 to 33 knots and/or seas or waves 4 feet and greater and/or when waves or seas are potentially hazardous. The TI has no business being out in such conditions. Anyone doing so had better be an excellent, experienced sailor and be physically capable and knowledgeable of righting the boat if it capsized.
You're going to need to judge for yourself if you are capable of righting a TI. It's more about technique than weight, although weight certainly helps as does athleticism and a calm demeanor. See
this thread on righting a TI and even practice it if you want the most confidence. However, keep in mind that the difficulty increases in bad weather and rough conditions. It's far better never to get yourself in such a situation in the first place.
My advice to most TI owners is to add a small motor to your TI. This way, if you come across bad weather and/or rough conditions, you can strike the sail and power to the nearest shore. This greatly reduces the chance of a capsize since the sail is no longer in action and the TI is very stable without it.