Does she object against learning the alphabet in principle, or merely because she doesn't consider it the best use of the time when she is with you?
If it's the latter, you could prepare her a tool to learn the alphabet when she is back at home. Just print a paper containing all letters in the alphabet, and next to each letter put two or three pictures of things that start with that letter. ("А = автомобіль, антена; Б = банан,..."; free pics.) Or maybe make it two-sided cards, so she can practive active recall. Then give her a book on botany, as a motivation.
A book on botany with great pictures I already gave her, and her relatives read to her from it. I think I'll have a chat with her dad, though. There are many primers she can use which are much better than anything I can printout...
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