So, it might be a little late and my faitgue might be making me sensitive, but I sense a certain amount of patronizing here. I appologize if that's not the case. If it is the case, well I expected better.
In the .lua auras are created by applying a buff (or debuff) to all appropriate targets within a certain distance, which is checked at a certain time intervals. The mechanics for positive effects (e.g., like Healing Wind), and the code for negative effects (e.g., Frost Aura) are very much the same. The difference between Ooze and Frost Aura is simply that Ooze has an on/off switch. Hence my inclusion of all of these as potential auras. If you wish to restrict the QoT to an ally specific positive aura, that's fine. However, to say that Frost Aura (an enemy debuff) isn't an aura, is somewhat odd.
I created the list as a rough picture of the abilities of the demigods, I wasn't trying to be exhaustive, merely descriptive. Given that I'm uncertain what division you are making with auras, I shall not be more specific. However, I will note that I was referring to Healing Wind and Magnificient Presence, although I should probably have added Counter Healing to the list as well.
I have been interpreting aura as any Area wide effect that persists for an extended period of time (and not a temporary 10 second buff). Hence my inclusion of the Oak as having a healing aura with Divine Justice. His spirit totems, as noted by JagerJack, do grant armor bonuses.
I'm not certain what you mean by a Mana Aura being out of place. The QoT already grants herself a mana regen buff when in closed form. The extension of granting her allies mana regeneration as well seems reasonable. Her background story presents her as a rather unpleasant lady focusing on magic due to her lack of physical abilities. The third alternative, is that you don't believe it fits her needs as a playable character. That's a reasonable position, however I would inquire as to what you think she does need? I attempted to phrase this question in my previous post, but I wasn't clear enough. What do you want to accomplish with the QoT? What roles will the modifications make her better at? What are her weaknesses? Her strengths? Until one answers these questions, it does seem that the work will be unguided and potentially misdirected.
Unrelated to the main point, I wonder if minions were gaining gold, and if that actually did anything. It has already been established that her level 15 ability of granting +4 gold income to everyone is rather bad. However, you have now made the claim that having a +2 gold aura at early levels is over powered? It seems to me that these two lines of thought have to cross at some point. How much extra gold would you consider to be balanced? Another line of thought on this issue is that a gold mine gives you 4 gold per second. The aura, with +2 gold per second, would give your team an extra half a gold mine... Again, unless I am misunderstanding, that seems to be a bit underwhelming, not overwhelming. Also Currency 1 grants +4 gold per second.
So, as a regular QoT player I do have some idea of the pains she suffers. I understand that you have a tremendous amount of Demigods experience, far far more impressive than my own meager record. However, in this case I must suggest, as you yourself have pointed out, that because of your inexperience with the QoT, you should be careful about following your intuitions.
So, I've noted you are a regular Erebus & Regulus player. Have you ever been worried about a QoT in your lame? Probably not.
Quick question: What's the easiest way to protect a fellow demigod from being attacked as a QoT.
Answer: Walk into melee range of whatever is attacking them, they will automatically switch to attacking you.
As a QoT, my #1 cause of death is going to save the suicidal Oak/UB and then getting killed when they run away and the enemy switches their attention to me.
What's the point of all this? Well, I find it tragically funny. It also points out that the QoT is different than many of the other demigods, hence we shouldn't scoff at potential ideas just because they seem overpowered. The QoT isn't going to be in melee combat unless something is going wrong. Nor will melee combat last very long, she doens't have staying power, unless it is a 1v1. If it is a 1v1, the other demigod is better off ignoring her and doing something useful with their time. Hence, things that may seem overpowered, like a low cost mana draining ooze, might be worth considering. It won't be that devestating, because no one is going to be inside it for very long.
I've got my own ideas and thoughts about the QoT, but this isn't my soapbox.
One last bit, the aura that increases its effects based upon the number of enemies within range is mechanically interesting. However, if the QoT is outnumbered she is either fleeing or soon dead. There isn't a whole lot of value in making a really cool ability that isn't really functional. It would be like the Ironwalkers or Sam-El's Cloak, if you need it you are already losing. It seems to me that something that helps her get an advantage would be better than something that let's her slows her agonizing crawl of death. If you want to experience slow agonizing death, play as the QoT against assassins with the poison dagger. Sad times... Really sad times...
Anyway, I think I'm done. If I came across harshly or insulting that's not what I meant. I'm merely trying to provide some feedback and offer a few points of consideration.