@Blueser100
Just to be sure you're opening Time Machine (TM) the proper way, let me, without insult to you, spell out the procedure. All I'm doing is piggy-backing on Admin chscag's excellent advice.
I am suggesting a slight modification from what chscag said based on a trial run I made just now and because all your various calendars (home, work, birthdays etc) are within the one Calendar App. I have not found any way of restoring one specific calendar. It seems to be restore the whole App or nothing.
Make sure the source of your Time Machine (TM) is mounted (ie attached. Best if this is by USB from External Hard Drive, but I obviously don't know your particular set up). TM should be seen as an icon on the very top Menu Bar.
Close all windows (simply to avoid confusion).
Now open Finder. Go to Applications > Click on Calendar to highlight it. With this window open:-
From the top Menu Bar, click on TM. From the drop down menu, select "Enter Time Machine".
You will now encounter a space-age vista with multiple windows stretching from front to back. These should all be versions of your Finder Window showing the Calendar App highlighted.
On your right is a Time Line. Select a day in the past, prior to the day you accidentally deleted the calendar app. Be patient. This can take 15-30 seconds sometimes.
This will bring to the front a Finder Window with the Calendar App. It should be highlighted; but if not, click-to-highlight.
From the bottom of the screen, click on "Restore". As this is an App, it may ask you if you want to Keep Both or Replace. Your choice, but Replace seems best.
Wait till it finishes.
Exit TM.
Please post back. We want to be sure things work out for you.
Ian