Should a police department have a professional counselor to help officers deal with the stress of policing and PTSD?

Yes.  Law enforcement is not and never has been an easy or fun job.  Sure, some people may seem to enjoy their jobs but it sucks most of the time.  You get the idea that no one appreciates what you do, and everyone hates you for what someone else did that you had nothing to do with.  They do seriously need someone to talk to, that won't judge them for writing a ticket.

And the officer should be paid overtime for the counseling. (NOT!)

ABSOLUTELY.  Most will not allow the officer to return to work until they seek help and can prove they are fine.

Trump supporters if yall not coward then answer this:

Even a police officer said Trump to shut his mouth and to say something constructive during the riots?Does this mean even #BlueLivesMatter hate Trump?THE HYPOCRISY!!!!!So unfortunate that police officers and trump supporters don't think alike..

https://in.answers.yahoo.com/question/index?qid=20...

Atleast Democrats/Blacks/non Trumpies can answer...Trumpies r so coward I must say 30 minutes on and 2 coward trumpies reported me but it wasn't removed so..but no ***** answered

They usually do.  Or at least they contract with outside counselors and therapists to treat officers who need it.

I'm surprised you didn't know that.

Yes, and my City does.

That they do. It's always been there for as long as the idea of policing had been invented. The problem is people don't realize the psychological, emotional and physical trauma these people go through on a day-to-day basis while employed as a police officer. Sometimes an officer finds him/herself being dispatched to incident where they need to identify a deceased and then break the news to the victim's family.. Sometimes they witness the suicide take place and assume it was their fault. Sometimes they realize  deceased is one of their collogues.   I bet if people were given an insight to what these men and women go through on a day-to-day basis, people would stop assaulting the police.   Many of these men and woman also have families and also deal with the everyday stress of raising a family. How would the kids of each family feel if one of their parents was killed or committed suicide while serving as a police officer.   This is why I get very angry whenever I hear news about a police officer killed by a person. 

The last thing they need is someone making it even worse for them.  It's not fair on them.   

I can tell some of the contributors here lost a father, mother or brother who was a police officer.  

That's already a thing in pretty much every policing agency. One wonders how you couldn't know that when it's been a trope of many a cop series on TV. 

They do. What needs to happen now is money invested in professionals who are better equipped to deal with domestic violence, juvenile offenders, drug users, alcoholics, etc. 

Of course and most do. The problem is that you're teased and so forth for seeing the counselor because you're seen and not being strong.