I have given L multiple things one being a small stuffed animal. But L allows me to give her gifts. And all of my gifts have meanings. I don't simply gift her because I want to. I ordered a plant once and got a free one with it. I gave it to L to gift it to someone else (I didn't want to throw it away). It had no meaning for me, so it wasn't for her. I gave it to her to gift because I didn't know anyone to give it to.

I would talk to your T about gifting first, make sure she's okay with it. Some have a monetary limit. L does.