We all have our good days and bad ones; we get all wrapped up or just plain exhausted. It's perfectly fine to admit that energy isn't limitless, and sometimes we need a step back and a recharge to get ourselves in line once again.
This, of course does not mean we do not care for our friends and relatives. It simply states that we respect our limits and take care of ourselves. If at some point you feel prompted to reply to all incoming messages immediately, remind yourself that what is important is your mental and emotional well-being. It is perfect if one takes time to collect themselves in order to respond once they feel ready.
Know that your loved ones will understand and respect this kind of honesty. Your health is very important too, and it's okay when your body or mind communicates a need to take rest, Mau. I love you.