That's quite a big plant for that size pot, it might need a larger one, but I wonder how much water you've been giving it twice a week. The best way to water is to water thoroughly, with enough water to wet the whole potful of soil; empty out the outer tray thirty minutes later, then water thoroughly again when the surface of the potting soil feels just dry to the touch, but not so dry it's shrunk from the sides of the pot.
Moving out to direct sunlight was not a good idea - ivies grow quite well in low light situations, and should do fine without direct sunlight. It's also not currently used to sunlight, so standing it outdoors suddenly and exposing it fully to the sun's rays will have caused some damage to the foliage.
It's unlikely to die if you get the watering right, even if the damaged leaves shrivel up and fall off. If they start to die back more, cut the whole plant back to about 4 inches or to healthy growth, cutting just above a leaf joint to encourage new growth from the base. You can check it's not potbound by turning it out of its pot - if you see roots wrapped round the outside, it needs a larger container, if not just put it back in its current pot.
In regard to 'twiggy' growth, over time, ivies contained in pots may well develop long stems with leaves at the end but not in the middle, nor towards the base - don't be afraid to cut those off when they occur, always back to a leaf joint, or even to soil level if necessary. It's a very resilient plant and will respond well to being cut back
