Then you are fine(tm) unless someone wants to be a total asshole. The application was made in the name of the Trust so it is in the Trust's name.
You are doing a Form 1 so you (or - more importantly your Trust) already has the firearm, so you don't need to do a BCG again - since you were smart and transferred the asset (the firearm) to the Trust before you sent the Form 1 in, right (Schedule A)? and you transferred the asset to the Trust before the new law went into effect, right?
This is again why I am a proponent for the Trust having its own bank account. Then there is zero question about who owns the asset, and when, and there are no transfers/assignments. Granted I am a bit extreme in this area - but I tend to over-do things when my life and freedom are on the line. But thats just me.