When it gets warmer and more humid, you'll probably have better luck. A humidity tent/dome can help if doing inside. Most woody plants are best propagated in spring-early summer. What I've read about propagating this one suggests using a heel, where there's a bit of the larger branch attached at the base of the selected twig. If you pull it off instead of cutting, it's easier to achieve this, in my somewhat limited experience with this type of thing. Are any of the branches long enough to bend to the ground, or to a pot set next to the shrub? Layering might be an option if so.
I got one of these in January, I was scooting through WM really fast, just checking to see if there were any house plants I needed, and was stopped in my tracks by the wonderful odor. It took a minute to find the shrub responsible because they're not real showy flowers, as you obviously know. It's still blooming like crazy in its' pot and after I get it planted in the ground, I was going to try to propagate more also.
Woodies tend to rot before they can take root in water, but you never know when you'll get a pleasant surprise! Sometimes snipping the end back to firm material can help if it does start to rot. Sending good vibes to your cutting!