The gearshift is cable operated so unless one of the cables has been kinked or crimped, they shouldn't cause the stiffness. Where the shift mechanism enters the gearbox there's two levers that operate the 'box internals that could cause stiffness if they're sticking but both are unlikely causes.
What service was carried out ? If the gear oil was changed, was the correct grade used as if its too thick that'll cause stiff gear selection (as will not enough oil). Is it definitely the gear shift that's stiff or the clutch operation, crunching into gear as opposed to the actual gear lever being difficult to move ? If the brake fluid has been replaced, possibly the level was allowed to drop too far and the clutch system may have had induced some air ?
It seems strange to me a garage would purposely 'knobble' your car in the hope you'll buy a newer one from them. Taking into consideration the mileage, it is just possible that it's coincidence this has occurred now. I'd be inclined to get a second opinion from a different, trusted garage ( yes, there are some out there ) first and take it from there.
Good luck, and keep us updated please.
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