My suggestion might seem a little bold to you at first, but hear me out.
I think the name of the game should be changed to Hearth and Haven.
I think it sounds much better in that order. It rolls off the tongue much nicer and is reminiscent of the term 'Hearth and Home'
After WoW used the term hearth in their game (Hearth Stone), 'hearthing' has become pretty widely known for teleporting to your home location. Hearth and Haven makes sense because first you hearth teleport to your home and there you have safe haven. Hearth (The action) Haven (The place)
Honestly even though I read it constantly, I end up calling the game Hearth and Haven instead of Haven and Hearth. Subconsciously my mind has just decided that that's the better way to say it. What say you?