At the beginning of the Summer a branch managed to stick through the spokes on my front wheel.
There was quite a jolt,the branch broke but upon inspection the front wheel looked O.K..
Fast foward three months and a casual glance over the handle bars at the front wheel,
made it look like the tire/wheel was turned slightly to the left side.
Apropos of that the branch stuck through the left side.
I put it down to the little turns in direction necessary on old ashfalt roads.
But no,when I stopped to look better,if the handlebars were straight,
the tire angled slightly towards the left.

How can I tell what needs to be adjusted/fixed?
Hopefully no special tools need to be employed.

Flip the wheel in the DO's and see if it still shows the same "problem"

Since the front wheel is the usual reference point for handlebar alignment, I would think the bars are more
likely to be off. If the wheel is ok in the fork it will point in the same direction if flipped as Kapaun suggests,
so that will prove it is the bar that is off. This can be frustrating to fix, not as bad as wheel cone adjustment.
1/2-2° misalignments of the bar can be missed for a long time until they are noticed and then become
obvious.

Now that is good advice that is easily carried out.
Lets hope it is as easy a fix as that.
Every watt counts when older legs get tired. 😉

SIMPLE and/or FREE is my first choice to check.
Did you possibly bend the fork?

Gosh I hope the fork is O.K..
It really was quite the jolt.
Surprised I didn't fall over.
Let me adjust the axle in the D.O.s.
Tnx,talk to you later.

Would you just get off your butt and look?
I'm done.

I was not in the same city as my ride for most of this thread so could not instantly check out the wheel alignment. Today however I was off to the flea market so made the time to first check out my ride. First off I spun the wheel to try and see how true the rim was. If looking at a still focal point like a brake pad is a good indicator then the rim was definitely weaving in and out.
So as advised I reversed the wheel in the drop outs and spun it again. This time when it spun one brake pad would rub again and again. I checked out the wheel alignment as far as the handlebars go. It looked off the same amount in the same direction.
But lo and behold when I returned the wheel to its original direction the misalignment was almost not noticeable.
To me that means the axle had been wrenched in the D.O.s or something else perhaps even more drastic.
But my ride runs very well. I think getting the wheel trued couldn't hurt then see where to go from there.
Have a great rest of your Sunday.😉

If you are going to take the wheel and get it trued, then make certain you tell them about your other issue with regards to your OP. Otherwise they may just true the wheel and put it back in the bike with out noticing if anything else is amiss.

Good advice.
I will certainly let them know exactly what happened and not just bring the wheel. Besides the only way I have to get there is to use that bike.🤗 I am working on a shop bike as we speak.😉