Personally, I find it a large assumption that her room would be intact. If the world comes apart as you claim, why wouldn't the house be picked through for anything even remotely useful for surviving?

Electronics will definitely survive for 40 years. I have several items that are very close to that and still work. All depends on storage conditions.

Thinking about things from the other end of the equation. A person suddenly appears out of nowhere. Looks clean, kempt, and all new stuff on them. Wouldn't this immediately scream target? Nothing to defend yourself with would make you easy picking for anyone wanting what you have.

I've done a lot of RPGing in my days. This whole premiss sounds very shakey. You are depending on an altruistic GM to ensure your characters safety upon moment of arrival.

About the only thing that you would need on you to "survive" the 40 year lapse would be medical / batteries. If everyone is friendly to your character, they can provide anything else you need. Additionally, if your room is intact, most items would still be intact. 40 yr old clothing, if in the right environment, would still be perfectly useful. Going on a "trek" in a dress would not be wise if you have perfectly good pants and such. There are many high quality garments that are great for being in the outdoors in the summer that promote good air flow.

Knowledge is the one thing that can't be taken away. So medical skills would be a big plus.
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"I reject your reality and substitute my own..." - Adam Savage / Mythbusters