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Its still hard to tell from the photos but i can see what you mean by the light coming through on one of the pictures.
I'd do what I suggested…bed it with JB weld, apply it to both surfaces so you have continuous contact and all gaps will be filled.
Make sure there is no debris (old thread loc, etc…) caught in the receiver grooves on top of the action. Anything in that area or around the screw holes would prevent the rail from setting properly. Really give it a good clean before you bed it. You should be fine if you mask off the action and only leave the rail area exposed. Put a thin layer of epoxy on the rail and on the receiver. Install and screw the rail down rotating on each screw evenly, don't torque down each screw fully all at once. The excess epoxy will squeeze out and then just clean it off…let it setup for 24hrs before shooting and you are good to go. The rail will be permanent but can easily be removed with heat gun or torch in the future.
Its a pretty easy process, I'm sure you can do it…this is the best Video I could find on the process showing you what you will need…
https://www.youtube.com/watch?v=aSLNilqnpWc
The ONLY DIFFERENCE for T3 is…it will be like how the T3 CTR rails are glued & pinned from the factory. The Tikka action grooves do not allow you to bed it the same as a Rem 700, where you can bed it and remove it based on the round smooth 700 action. It will be permanent bedding job between the 2 surfaces.
Make sense?
