I like the brightness of it and the simpleness makes it stand out. But, you mention that the the owner wanted to convey “home cooked”, “healthy food” and “delivered to your door”.
What you have produced doesn’t really convey, the home cooked messages, the health message or even the delivery message.
For home cooked, I’d expect to see something that looks more natural, like maybe with a hand written font? The font you have used kind of looks like that, but it doesn’t go all the way. Same with the message of health: The colours have something of health aspect, but it’s not strong.
I think because you are trying to convey 3 messages, you should experiment with lots of different concepts. If you have no formal training, I would start by googling for existing logos (especially well known logos) and put them in a scrap book (read: a file on your computer). Have a look at them and try to understand why they convey messages like health or home made. What emotions do they trigger?
Then when you’ve done, make a few different concepts and try not to reuse elements between them. (With the two concepts you have made, they are essentially different variations of the same core idea) Instead really experiment. Once you’ve done that, you’ll be in a much stronger position to make a concept.
At the moment, I think you are in the right direction, but you need to do more research to make it clearer in your mind.