There are healers among wizards. There is no question about as it's mentioned multiple times. And they are usually eldest and most experienced wizards - which is not surprising as healing magic is very delicate and precise - and it is, as mentioned in other answers, fine line between white and black magic and thus dangerously close to breaking any of The Seven Laws. To be delicate and precise requires time, and it's also stated that not many wizards live to be old and experienced. Add to this the fact that being a wizard is also extremely rare - the whole white council probably doesn't exceed ten thousand souls worldwide (but that's just my speculation based on nothing more than hints) and you get the picture. And this also means the part of the answer Radhill gave is dead wrong - getting multiple PhDs for a being that can live for several centuries is easy. In fact, there is a description in one of the books of old wizards with dozens badges on their stoles signifying, among other things, multiple degrees - which Dresden sees during one of the White Council round-ups.

Wizards are like ordinary humans in terms of physiology - they can be wounded, maimed or killed. But, we also know that if they can get immediate or quick medical attention, they can heal from nearly everything with enough time. Thus the need for hospitals, but not exactly pressing need for medical magic. Even in classic medicine every doctor will stress the need for time to heal with proper treatment. Well, with wizards there is less treatment but much more battlefield medicine.

The same and the reverse applies to vanilla humans too - damage done to them by magic is usually irreversible and even one inflicted by first-time-magic-slinger can be, and quite often is - deadly. Thus again no real need for therapeutical magic.

So conclusion would be that with so many pressures on White Council from all directions at once (even in peacetime), there is little time and resources for things that are not even close to survival requirement and with so little utility and benefit. But as mentioned in one of the answers lot of it happens "off screen", too, so we are left to a lot of speculation.

There are healers among wizards. There is no question about as it's mentioned multiple times. And they are usually eldest and most experienced wizards - which is not surprising as healing magic is very delicate and precise - and it is, as mentioned in other answers, fine line between white and black magic and thus dangerously close to breaking any of The Seven Laws. To be delicate and precise requires time, and it's also stated that not many wizards live to be old and experienced. Add to this the fact that being a wizard is also extremely rare - the whole white council probably doesn't exceed ten thousand souls worldwide (but that's just my speculation based on nothing more than hints) and you get the picture. And this also means the part of the answer Radhill gave is dead wrong - getting multiple PhDs for a being that can live for several centuries is easy. In fact, there is a description in one of the books of old wizards with dozens badges on their stoles signifying, among other things, multiple degrees - which Dresden sees during one of the White Council round-ups.

Wizards are like ordinary humans in terms of physiology - they can be wounded, maimed or killed. But, we also know that if they can get immediate or quick medical attention, they can heal from nearly everything with enough time. Thus the need for hospitals, but not exactly pressing need for medical magic. Even in classic medicine every doctor will stress the need for time to heal with proper treatment. Well, with wizards there is less treatment but much more battlefield medicine.

The same and the reverse applies to vanilla humans too - damage done to them by magic is usually irreversible and even one inflicted by first-time-magic-slinger can be, and quite often is - deadly. Thus again no real need for therapeutical magic.

So conclusion would be that with so many pressures on White Council from all directions at once (even in peacetime), there is little time and resources for things that are not even close to survival requirement and with so little utility and benefit. But as mentioned in one of the answers lot of it happens "off screen", too, so we are left to a lot of speculation.