Sending to an alternate email address is common when the work email is not working. Here are some sentences you can use if you are ever in this situation. Some companies do not allow this, so make sure your company does not have policies prohibiting this.
Although I have a couple of sentences on writing, most of this is to talk about email. Learning to write is not what I am trying to teach here. I want everyone to be able to speak. You should be practicing all of these lessons while talking along.