I will try and help. You won't like this answer, but I'm doing my best.
The short answer is no. There are two theories for infliction of emotional distress - intentional and negligent. There is no evidence this was intentional. Therefore we will look at negligent infliction of emotional distress. The underlying concept is that one has a legal obligation to use reasonable care to avoid causing emotional suffering or distress to another individual.
To establish this claim, you would (generally) have to prove all of the following:
1. That your landlord was negligent;
2. That you suffered serious emotional distress; and
3. That your landlord’s negligence was a substantial factor in causing you serious emotional distress.
Emotional distress includes suffering, anguish, fright, horror, nervousness, grief, anxiety, worry, shock, humiliation, and shame. Serious emotional distress exists if an ordinary, reasonable person would be unable to cope with it.
You are going to likely have a difficult time as a CEO convincing a jury that you suffered such emotional distress so severe you were unable to cope with it. You would need to show, at minimum, that you had received extensive psychological care as a result. This kind of thing is usually reserved for situations where loved ones see others killed in front of them (a mother witnesses a child killed by a drunk driver in a crosswalk). Serious emotional distress is more than a lot of emotional distress. Plus, you would have to show that they should have forseen your suffering by not fixing a water leak/mold.
You can check it out more here: https://en.wikipedia.org/wiki/Negligent_infliction_of_emotional_distress
I know this is not what you want to hear, but that is the law as I see it and, against that backdrop, you have no claim.
I hope this helps. Best of luck to you.