TH44 - that's pretty cool rifle. If the action is tight, that is, if block is forward with the hammer and it is tight, then probably just fine to shoot it. Appears a fairly late gun. Husky collectors can likely tell you the date of mfgr.
How's the bore?
You could always pull the cross pivot pins to check for damage. If not, then why not shoot it? The cross pins take all of the gaff, due to the hammer block, blocking the rolling block when in fired position.
Thus, in order to 'come back', the pins would have to shear on all 4 - side contact positions to the action walls, or the holes elongate- but still, for the blocks to fly back, they pins would have to shear. RB's are quite strong and even stronger if replaced with schedule 5 or 7 bolts turned down, as a fellow here in PG does.