I put tge seeds in moist soil for 10 weeks. I want to broadcast them now, but it's cool and muddy. Can I wait now until spring?

If the seeds have not germinated, I would dry them out and wait until spring.

Welcome to the site!

It is best to plant the seeds in autumn, to germinate the following spring. They will flower in year three.

Usually much easier to purchase a plant, if they find their happy place, you will have lots of Butterfly Weed in a few years.

Broadcast them now. Once the germination process has started it can't stop it. Next time, just toss the seeds where you want them to grow and let nature do the rest.

Do you mean common milkweed? (Asclepias syriaca)
Butterfly weed? (Asclepias tuberosa)
Or some other milkweed?
I have milkweed vines (gonolobus suberosus) that are begining to scatter their seed to the wind now...
As a general rule of thumb, perennial plants produce seed at the correct time for planting...
Why do you want to remove them from the soil where they've been for 10 weeks?

Usually when I place seeds in soil, I leave them alone until I have plants that are large enough to transplant...

Really difficult to advise you when there's so much about your question that isn't clear.... but drying out the seeds that have been planted doesn't seem like a very good idea.

Yes, plant them out now. The seed wants the cold, and should come up next spring. If the soil is wet and muddy, you will want to wait until it dries some so it is workable. As long as it is above about 35°F, you can plant them. If you have them inside the house, then in the meantime, it would be best to gradually start the cooling process and keep them in the unheated garage, until you are ready to plant.