I have to apologize for these pictures, but I just got home and it's already dark.

I do not own any pet, and I keep my Aloe on the window sill, I always have since I got her.

The powdery thing on it is dust, my roommate vacuumed and I'm going to clean her in a bit.

The pot (the green one) has drainage holes so I can't understand what would cause the problem - let alone the fact that I barely give her water during these periods.

What I mean by tender is like.. really squishy and soft, see that long one from the right, hanging low? It tends to get reaaally low sometimes, like touching the window sill.

I understand that the pot is too small - but from what I have been told, I should not repot her until spring comes. Could this be the problem?

It's the first time I have had problems with it since May

Wow, -17C!! can't imagine how that must feel... Anyhow, part of the problem might be light deprivation. These plants really need a lot of light and indoors with that kind of winter might not be enough. And you are right, they won't survive such low temps so keep it indoors. Maybe some supplemental grow light if possible.

Yes, the temperature is horrible and it gets dark around 4pm (with light from around 8am), and that would be okay - but it's always cloudy and gloomy :( I was fearing that the winter might be too harsh.

Should I invest in a lamp for plants? I have no experience with them, but if it's gonna help, I'll grab one in no time

You didn't mentioned what your grow zone is, I am assuming maybe 6 or7? I am even colder in Canada. We often have temps in minus tventies during winter (it has been -27*C last night & night before). Most succulents are too tender to live in zones below z9 during winter. There are some hardy ones - some sedums, and sempervivums are most common.

I couldn't keep succulents indoors without supplemental lights, and even so some get bit etiolated. I keep lights on timers, on for approx. 12hrs. Some jades and haws make it in unobstructed, west-facing window.

Soft - squishy leaves are usually sign of overwatering, but you say you hardly water it. Still, check soil for moisture deep into pot (use bamboo skewer or chopstick, or even pencil). And whenever you water, keep inner pot out of cachepot until extra water drains. Looks like it is potted in cocopeat, that is somehow similar to peat. Can't tell much from photo, but damage looks minimal and mostly mechanical, like scratches from leave spine brushing against another leaf. That could happen with just handling the plant. 'Blister' like thing in last photo could be oedema, but if so there is not much to worry about. I would start with better light and repotting into better draining mix.

Thank you so much for the advice! Yes, the grow zone is 6. I really want to invest in some grow lights, because this is about all the light it's getting..

I haven't seen the sun for like 2 months, honestly. There are only two leaves out of 12 that are droopy and soft, but it's still concerning and I would like to protect it as much as I can. I've been doing research for a LED grow light. :)