If you screw it, pilot and countersink the holes (3.2 to 3.5mm - I think 3mm is getting near to the point where you can snap a 4mm screw off in oak, but would be OK in softwood) then screw the parts together using lubricated steel screws, the same size as the final screws you will be using (use tallow, wax or soft soap from the bathroom as a lubricant). This cuts a nice neat hole for the finish screws to use
When complete, one at a time back the screws out and replace with identical brass or stainless steel screws. As others have said - ordinary steel screws corrode in oak, stainless and brass don't, but they are very soft and can snap off or the heads burr out if over torqued, hence the long winded approach to installing the final screws