I saw something on reddit a few days ago before i return that might be related to your problem: https://www.reddit.com/r/ffxiv/comme..._getting_sent/

The text:

I was under the impression that my house was safe as my sub had briefly lapsed and I thought I was within the window as I had not received an email reminder of the demolition. Instead I logged in to my house being... gone. No email. No warning. Nothing. GG no re.

So be aware, housing emails are not going out correctly. Don't make my mistake. Now I have to wait for another housing rush.

Update: Thanks to a kind soul, I've found a new home! This is why I love this subreddit. Hopefully we can make Square-Enix aware of this issue and have it looked into. I've sent a bug report and hopefully others with the same issue have done (or can do) the same so that those of us lucky enough to have homes, or that purchase homes in the future, can be aware of this and properly notified in the future!
One of the comments in there:

Yeah, my house has been up for demolition several times and I've only received the email once. And yes, I know it's only sent at 35 days or whatever. They aren't being sent properly.
I assume you also know that just logging into the game won't count towards the removal of the days of house demolish, you have to go inside the house.