A hunting rifle definitely qualifies! As long as it's something that actually exists in modern society IRL, then it's good. You just can't have like, sonic blasters and Gundams or something like that.

I'm going to assume you mean Marvel Asgardian rather than game Asgardian haha since in-game, their technology is nothing really special. With the tech limits, though, anything from your Asgard that doesn't exist on Earth will cease to function entirely. She could have that pile, but it would be a useless pile of parts, basically. Advanced technology just can't function in Asgard, even if she were to build it herself. You'll hit a wall. She could have those things if you'd like her to, but they won't really be able to do anything.

A motorcycle is definitely a possible alternative!