Is page strange as a girl's English name (because the pronunciation of Chinese name is similar to it)

Nothing strange.

A name is just a symbol.

Not to please others.

I know that many foreigners take Chinese names that are also "strange".

What's the name of the handsome guy who built the top of the mountain? Is it possible for China people to have such a name?

So no problem, as long as it's not the name of a stripper like candy.