Spindle-To-Pivot Distance

If the slots in your head shell, presuming you are using a head shell, are long enough you could possibly make up the deficit by moving the cartridge forward in the head shell and twisting it slightly with respect to the long axis of the headshell. Then you might achieve only a small tracking angle error, rather than a large one. Use a good protractor if you go this route. While I respect the opinions of the other knowledgeable persons who commented here, I personally do not think there would be such a dramatic reduction in sound quality, if you were able to make up for the pivot to spindle distance in the manner that I described.

Well, this collection of answers gives me a good grounding.  And a minimum of snotty gay comments like I get in other forums.  Thank you all.  I could as well mount the arm off the original 'table but I think that there's something to having a strict connection from platter to tonearm.  But there's certainly a hierarchy of considerations.
Over and out.  Thanks.

10mm error in PS distance is too much! 

But theoretically if you have detachable headshell with long slots for the mounting screws you can compensate 10mm. In the end it will be ugly as hell. Your cartridge will be moved way too forward in the shell (10mm more) and twisted a bit. 

I would’t do that, you’d better change the armboard with correct mounting hole for your tonearm and given PS distance (using original template). 

What’s your tonearm?

I know I’ll get hate mail, figuratively, but anal attention to alignment is overrated in my opinion, as regards the effect of slight misalignment on audible distortion.

Why would moving the cartridge forward in a headshell with elongated slots “look ugly”, and who cares?