It will probably be fine. I used basic shop lights T8 (two bulbs - 34 W each) for quite a few cuttings of hydrangeas this past winter. Most did pretty good with a couple actually blooming.

Even with plants in small pots like yours, I have just planted out into the garden and not had any issues with survival. My winter is so long that keeping many plants in the house lead to more issues that having them wintering in the garden.

NHBabs, what issues did you run into overwintering hydrangeas indoors? Any advice on heading off problems before they occur? I will be overwintering only my smallest cuttings and plants inside and have planted out all I don't mind to lose during winter in their little nursery spot. If they live, great.. if they don't that's fine too as I have plenty of plants. I will keep my Let's Dance Diva inside along with a few of my more precious rooted cuttings. There are some I refuse to lose. lol I have two large plastic totes set up for humidity and they will get light for 15-16 hours per day as my lights are on a timer. I will be starting nursing school in 3 weeks so having them inside will allow me to better keep an eye on them and water them from time to time when they need it, plus it will allow them to grow and hopefully become larger, stronger plants for planting out in the garden in the spring.