I don't think you have anything to worry about! Your diary doesn't tell us, though, how much water you're giving her... the drooping could be either from overwatering or underwatering! I would advise you to think about that particular issue - both over- and under-watering can cause lots of problems. I'm also absolutely stunned she's only getting 4 hours of light... is this a mistake in your diary? If you can, move her to where she'll get the maximum amount of sunlight there is during the day! If your weather is not the best, as you mention, and if she's in a pot (which your diary doesn't mention), you might bring her inside on cloudy days and give her some grow lights to help her along. That won't be needed as she gets older but for now, it might just do the trick.
Good luck! Keep us posted!