If you have the film, and just want to shoot & process it, I'd say go ahead and try it; 20 year old Tri-X will probably work, though you may experience some problems. If the film has been stored in the freezer / fridge, it'll probably be just like new. If it was stored otherwise, you might have some fog or other oddities.
You might want to add a little anti-fog to your developer (Potassium Bromide of Benzotriazole), just to cut down on any fog that may be present. I do not know anything about FG-7 as a developer, though in my normal use of D-76 with old films, I overexpose about a half stop to a stop and develop normally.
I've shot old Kodacolor and FP4 with good results, and have developed a roll of verichrome from the 1940s - 1950s era, so this is certainly doable.
I believe that you may have the "old" Tri-X, which I think is a different speed than the current ISO 320 / 400 stuff, though I may be mistaken as I've never shot Tri-X that old.
Try it and see how it comes out.