[Jess~]

Well, what kind of workouts do you do on a typical day? I can't give you lighter workout ideas unless I know how intense the workouts usually are.

I would suggest taking it down a notch, but only if you really need to. For example, if you do High Intensity Interval Training on a normal day, maybe just do regular cardio on a period day.

I don't know if you're aware of this, but working out is actually supposed to make your period shorter/lighter. It might not work for everyone, but it's a good thing to keep in mind when choosing workout intensity.

It's important to push yourself when working out, but you also have to be realistic with yourself and make good judgements about your own limitations. You've heard of good cop, bad cop, right? Well it's almost like you have to be the good coach and the bad coach, to yourself.
Again, I don't know what you do so I can only give examples, but lets say you do 50 pushups a day. If you really feel like you can't do that, do knee-pushups instead. Or do 25 regular pushups, 25 knee-pushups.

It's mostly up to you to just know your body and find what feels right for you. And it is more than okay to take a rest day, if you seriously don't feel up to it. On a rest day, you could still take a walk or something, just to get your body moving.
But yeah, just get really in tune with yourself and listen to your body. Change your workouts based on that, and hopefully that will help.