Explain to your loved one what you've just learned.  That self care is paramount and that there will be times when you will need to have someone else take care of them.  Your commitment to your loved one should be, ensuring that they receive the best care possible.  That may mean, you are not the person to provide that care or you are no longer the person to provide that care.  A candid, loving conversation will go a long way in easing their fears.  Knowing that you will still be there for them is important.