It will be fine. You may experience medium/long term durability issues with the wheels, esp. the rear wheel - bearings may get rough and spokes may start to break. Luckily, neither of these issues are critical safety failures, and you can generally ride home to safety after they happen. Save your pennies and get a more robust wheel built when/if the original one starts to fail.
Otherwise, make sure the tires are pumped up appropriately - 40 mm wide tires don't need a whole lot of pressure, even for heavier riders, but make sure you aren't pinching the tire against the rim when you hit bumps - and ride the bike.