Combine butter, chipotle chile, maple syrup, chile powder, smoked paprika, salt and black pepper in the bowl of a stand mixer fitted with a paddle attachment. Beat on medium speed until combined, scraping down the bowl as needed. Taste and add more salt or pepper if desired.
If using as a spread, transfer to a bowl and use while soft. Otherwise, spoon onto parchment paper or plastic wrap and roll into a tight log. Refrigerate until firm.
Chipotle maple butter is great on corn on the cob, roasted sweet potatoes, grilled chicken or steak, and warm cornbread.