I don't know that age has anything to do with it.

Assertive behaviors help.  Assertive behavior means you make your point without making it an argumetn; ie avoid the snappy comeback.  Those are passive aggressive.

If you are in the wrong, go to the person and say so.  Say, "When I said or did X, I was wrong and I'm sorry if it make things difficult for you or hurt your feelings.  I will work not to make the same mistake again."  Most people understand things happen, but when the person in the wrong admits it and owns it, then they are more likely to be forgiving.

If you are dealing with a more experienced person, acknowledge their experience.  Tell them you could learn from them.

If you are working with a new nurse, take her under your wing.  Be a preceptor or mentor to them.  Make yourself the person they want to come to for help.

Of course, sometimes people just don't get along.  The best you can do in that case is be profession and give the respect you expect to get back.  If the work environment is becoming hostile, then you need to get your manager involved and explained you've done everything you can think of to fix the problem on your own.  Either that or look for a new job.