Personally I think there's nothing wrong with looking up the user's name from within the event handler. But if you're in a position where you can't query the name from the User's read model then I'd introduce an additional event handler to QuestionEventsHandler, to handle the UserRegistered event.
That way the QuestionEventsHandler could maintain its own repository of user names (you wouldn't need to store the users email). The QuestionAsked handler can then query the user's name direct from it's own repository (as Rinat Abdullin said storage is cheap!).
Besides since your QuestionItem read model holds the user's name, you would need to handle the UserNameChanged event within the QuestionEventsHandler as well to ensure the name field within the QuestionItem is up-to-date.
To me this seems less effort than 'enriching the events' and has the benefit of not building dependencies on other parts of the system and their read models.
If you validate the username using the read model before you send the command, we are talking about a race condition window of a couple of hundred milliseconds where a real race condition can happen, which in my system is not handled. It is just too unlikely to happen compared to the cost of dealing with it.
However, if you feel you must handle it for some reason or if you just feel you want to know how to master such a case, here is one way:
You shouldn't access the read model from the command handler nor the domain when using event sourcing. However, what you could do is to use a domain service that would listen to the UserRegistered event in which you access the read model again and check whether the username still isn't a duplicate. Of course you need to use the UserGuid here as well as your read model might have been updated with the user you just created. If there is a duplicate found, you have the chance of sending compensating commands such as changing the username and notifying the user that the username was taken.
That is one approach to the problem.
As you probably can see, it is not possible to do this in a synchronous request-response manner. To solve that, we are using SignalR to update the UI whenever there is something we want to push to the client (if they are still connected, that is). What we do is that we let the web client subscribe to events that contain information that is useful for the client to see immediately.
Update
For the more complex case:
I would say the order placement is less complex, since you can use the read model to find out if the client is valuable before you send the command. Actually, you could query that when you load the order form since you probably want to show the client that they'll get the 10% off before they place the order. Just add a discount to the PlaceOrderCommand and perhaps a reason for the discount, so that you can track why you are cutting profits.
But then again, if you really need to calculate the discount after the order was places for some reason, again use a domain service that would listen to OrderPlacedEvent and the "compensating" command in this case would probably be a DiscountOrderCommand or something. That command would affect the Order Aggregate root and the information could be propagated to your read models.
For the duplicate username case:
You could send a ChangeUsernameCommand as the compensating command from the domain service. Or even something more specific, that would describe the reason why the username changed which also could result in the creation of an event that the web client could subscribe to so that you can let the user see that the username was a duplicate.
In the domain service context I would say that you also have the possibility to use other means to notify the user, such like sending an email which could be useful since you cannot know if the user is still connected. Maybe that notification functionality could be initiated by the very same event that the web client is subscribing to.
When it comes to SignalR, I use a SignalR Hub that the users connects to when they load a certain form. I use the SignalR Group functionality which allows me to create a group which I name the value of the Guid I send in the command. This could be the userGuid in your case. Then I have Eventhandler that subscribe to events that could be useful for the client and when an event arrives I can invoke a javascript function on all clients in the SignalR Group (which in this case would be only the one client creating the duplicate username in your case). I know it sounds complex, but it really isn't. I had it all set up in an afternoon. There are great docs and examples on the SignalR Github page.
Best Answer
I would go for an application service that is just responsible for generating unique ShortURL's. You can use a transactional DB to implement this behaviour. Typically this service would be used by the command handling part of the BlogPost aggregate. If there is a duplicate ShortURL, you can fire a DuplicateUrlErrorEvent. You can pre-catch this in the UI (but never 100%) by creating a thin query-model using the same data-source, so you can query whether a shortified URL is unique before submitting the post (as described by @RyanR's answer).