The big issue? While your title insurance might cover your ownership of the property, it will not necessarily continue to provide coverage after the property is transferred.
If there are later legal disputes concerning the property, then you could be in trouble. For this reason, it is extremely important that you review any title insurance policies before transferring real estate into a trust.
Accordingly, it may be prudent to contact the insurance provider and get coverage for your trust.
This issue is easily avoidable, of course. Just make sure that you and your attorney review any title insurance before transferring property to a trust or other legal entity.