If you place your plant in full sun, you need to do is slowly. As you found out, it will burn. Wean it into the sun just like you would do yourself to get used to the sun. My plants are in full sun all year long, but I do not get as hot as you mentioned. When it is dry my plants turn brownish, but not burnt like you describe. Your plant should do well beside your brightest window, preferably south facing. The sun is generally not as strong after coming through a window, so wean your plant to that area. A gritty, fast draining soil is best. Many use half perlite and half cactus and succulent soil mixed. I am in a very humid area, so a mix of perlite, granite chicken grit and Turface is what I use. Where are you located? Your growing zone and general area will help determine which potting mix may work best for you.

Other than the fact that you're demonstrating wonderfully the principles of restrictive plant growing? What b says is correct, but if you want it to grow more, sucker, and flower, repot it into 50/50 ratio of cactus soil and pumice or perlite into a pot a size or two larger (or, if you like that pot, depot, trim the roots, probably severely, and repot into fresh soil). Most Aloes will still enjoy several months of good growing in Texas before summer.

My Aloe plant is growing more and more to one side of the pot. Suggestions would be great. Maybe it's just time for a bigger pot or perhaps it needs a physical support.

Hey! I replied yesterday but apparently my post disappeared. Let me try again... Two things: Let it be & have patience. Regarding the leaf, not much to be done about that. It formed that way based on what ever other plants where in its way when it was first developing. It won’t ever be straight but it is helping your plant so just leave it be. New leaves either from the center or offsets or both will form and that older leaf will eventually dry up. As far as watering, you’re dealing with a rooted transplant and not a cutting. If this new location has the same soil as the original location where this plant was moved from then I don’t think you have anything to worry about with your watering. Just water this one the same way as you water the others.