あるはずよ

there should be

→ 有る
phrase Rare #22,631
there should be はず expresses an expectation or strong belief; よ adds emphasis. The phrase is conversational, and this use of よ is not limited to women.
JA: この近くに駅があるはずよ。
EN: There should be a station nearby.

その中にあるはずよ

It should be in there.

— どん底作家の人生に幸あれ! (2019)

私たちにも選べる未来があるはずよ

We should have a future we can choose, too.

— AKIRA (1988)

他に出口があるはずよ

There must be another way out.

— サスペリア (1977)

どこかに売る方法はあるはずよ。

There must be some way to sell it somewhere.

そういう章があるはずよ

There should be a chapter like that.

— どん底作家の人生に幸あれ! (2019)

あるはずよ

It should be there.

— 道 (1954)

あそこにあるはずよ

It should be over there.

— 甘い生活 (1960)