My friend just went through this with a door - and she was able to purchase at Home Depot I believe (mind you, this was for the door, but they had them in different shapes and sizes for different kinds of doors, so perhaps the would have them for sidelights), blinds that somehow snap ONTO the glass. You can leave open during day and close during night.
They look like the blinds that come INSIDE glass nowadays. I have friends who have those but pricey. I suppose, worst comes to worst, you could look into replacing the whole panel with those .. depending on if this is your forever home. However, these snap on blinds - if you go down the Home Depot outdoor door aisle - they are usually on display (here anyway) where they show them mounted to an outside door by the patio door section.
I just think they likely would have something like that for sidelights. I honestly didn't really notice it much at my friend's house and she loved the solution. Much neater (streamlined) than curtains and she's had it up for over a year with no issues. I also don't think it was that expensive.
Oh - here they are, and the have different sizes. They'd probably have more sizes you could order from if needed (custom) at the store. As I said, different stores in your area would likely have more to chose from - that's just what I'm familiar with. These are just around $100.00 so very reasonable, and honestly, look like they go with the trim.
This is a safe site, Home Depot, but if you'd feel better - just go to Home Depot and type in Sidelight Blinds.
https://www.homedepot.com/p/ODL-White-Cordless-Add-On-Enc...
Good luck :)
**The other option I've seen are those curtain rods like this
https://www.homedepot.com/p/Achim-Brent-20-in-L-36-in-L-I...
that swing across - you can get in different sizes so that some are very short. You could have a small single panel you swing across at night for privacy? Out of the way during the day. Use tie backs to keep out of way of door.
What we did at one home was buy nice seaside art blown glass to hang in the window - it goes with out house decor, and we hung at eye level (not on the bottom, where it would have gotten broken). It gave me the illusion of privacy which was all I really needed. I think people would have had a hard time seeing in. I had fish hanging, etc. You can pick things like that up at craft fairs etc. and they make easy things for your kiddos to give you for Mother's Day gifts etc. I used those suction cup hangers to mount them.