His main weapon is not a bow, as most elves traditionally are, but rather a sword; the sword to end all swords, no less. They don't call it the Master Sword for nothing.
Also, what leads you to believe that Link is a pansy? In case you didn't notice, he pushes stone blocks around without much difficulty; this is, or should be, an obvious indicator of the superhuman strength he possesses. I'll provide you with some quantification for that purpose.
Assume that Link is six feet tall. In the Forest Temple in Ocarina of Time, to solve one of the block puzzles Link is required to push stone blocks roughly twice as tall as he is. The particular variety of stone is uncertain, but much of the architecture present in the Forest Temple, and especially that of its exterior design, suggests a decidedly Greek bent. Thus for the substance calculation I shall use marble, the material used to construct the Parthenon.
A block of marble 12 feet tall converts to approximate height of 3.7 meters. Since the blocks Link pushes are cubical, we know that they encompass ~51 m^3 of space. A common form of marble has a density of 2670 kg/m^3, so multiplying the two quantities gives a total mass of 1.4e5 kg for an individual block. From there, we take the equation of static friction to find out how much force it takes to actually move the object. The equation in this case, because Link is not doing the work at an angle, is as follows:
Force required = coefficient of static friction * normal force
One can easily compute the normal force by multipling 1.4e5 * 9.81, resulting in ~1.4e6 N. An approximate coefficient of static friction of unpolished marble stone would be somewhere around 0.7, so multiplying this by our established force gives a minimum requirement of approximately 1 MN to even equal the threshold of the surface's friction force, let alone to move it. As F = ma, we can approximate the actual force Link uses to move a block. The game runs at 50 fps; it takes no more than two seconds to complete one push. Being generous, the block attains a speed of maybe 1 m/s, which assuming linear acceleration renders a figure of 0.5 Gs. Multiply that by 1.4e6 and we get 7e5 N, which accounting for sig figs and error comes out to 1 MN, meaning that's about Link's limit outside of equipment such as the Silver and Gold Gauntlets, or the Mitts of LttP. In fact, according to the OOT guide published by Nintendo Power (which was written in the form of a narrative, a feature I quite enjoyed) the Golden Gauntlets could "give a man the strength to move mountains." One might ordinarily dismiss this as hyperbole, but in light of those numbers it could very well prove to be literally true. Even humor backs this up. I refer you to The Grand List of RPG Cliches for this:
Rule #27 - The Nostradamus Rule
All legends are 100% accurate. All rumors are entirely factual. All prophecies will come true, and not just someday but almost immediately.
For comparison, the current world bench-press record is 565 lbs. That equals a mass of ~260 kg, which applies a downward force of 2519 N. Translation: Link is the strongest man who ever lived almost four hundred times over. Realistically, that tunic hides the six-pack to end all six-packs.