Is my cat trying to harm my new kitten?

The other night I found a 5 week old kitten underneath my lawn mower. Last night I let the kitten out of her pet carrier to play. I also have an older 1year old cat, Layla. She came over to sniff the kitten and then she nipped at her ears. When she bit the kittens neck I put the kitten back in her pet carrier. Layla started to meow like crazy for 2 hours straight. This morning I took the kitten out again and Layla came over and bit her ear and didn’t want to let go. Is Layla trying to harm the kitten? Is this normal behavior?