^8th female travelling with him if you count temporary companions. You forgot about Cheryl. She went with Ash in Eterna Forrest for three episodes back in Sinnoh.
Anyway, maybe Serena won't care Pikachu will destroy her bike (if she HAS one) since it's implied she and Ash are already good friends. A good long time friend wouldn't let an accident that has happened more than once ruin their friendship nor hang a guilt trip over their friend's head about it.