This doesn't seem to apply her, but I note the EAW includes this:

EUR-Lex - 32002F0584 - EN

(12) This Framework Decision respects fundamental rights and observes the principles recognised by Article 6 of the Treaty on European Union and reflected in the Charter of Fundamental Rights of the European Union(7), in particular Chapter VI thereof. Nothing in this Framework Decision may be interpreted as prohibiting refusal to surrender a person for whom a European arrest warrant has been issued when there are reasons to believe, on the basis of objective elements, that the said arrest warrant has been issued for the purpose of prosecuting or punishing a person on the grounds of his or her sex, race, religion, ethnic origin, nationality, language, political opinions or sexual orientation, or that that person's position may be prejudiced for any of these reasons.

This Framework Decision does not prevent a Member State from applying its constitutional rules relating to due process, freedom of association, freedom of the press and freedom of expression in other media.

EUR-Lex - 32002F0584 - EN

Article 3

Grounds for mandatory non-execution of the European arrest warrant

The judicial authority of the Member State of execution (hereinafter "executing judicial authority") shall refuse to execute the European arrest warrant in the following cases:

...

2. if the executing judicial authority is informed that the requested person has been finally judged by a Member State in respect of the same acts provided that, where there has been sentence, the sentence has been served or is currently being served or may no longer be executed under the law of the sentencing Member State

Article 4

Grounds for optional non-execution of the European arrest warrant

The executing judicial authority may refuse to execute the European arrest warrant:

1. if, in one of the cases referred to in Article 2(4), the act on which the European arrest warrant is based does not constitute an offence under the law of the executing Member State; however, in relation to taxes or duties, customs and exchange, execution of the European arrest warrant shall not be refused on the ground that the law of the executing Member State does not impose the same kind of tax or duty or does not contain the same type of rules as regards taxes, duties and customs and exchange regulations as the law of the issuing Member State;

2. where the person who is the subject of the European arrest warrant is being prosecuted in the executing Member State for the same act as that on which the European arrest warrant is based;

3. where the judicial authorities of the executing Member State have decided either not to prosecute for the offence on which the European arrest warrant is based or to halt proceedings, or where a final judgment has been passed upon the requested person in a Member State, in respect of the same acts, which prevents further proceedings;

...

5. if the executing judicial authority is informed that the requested person has been finally judged by a third State in respect of the same acts provided that, where there has been sentence, the sentence has been served or is currently being served or may no longer be executed under the law of the sentencing country;

...

7. where the European arrest warrant relates to offences which:

(a) are regarded by the law of the executing Member State as having been committed in whole or in part in the territory of the executing Member State or in a place treated as such; or

(b) have been committed outside the territory of the issuing Member State and the law of the executing Member State does not allow prosecution for the same offences when committed outside its territory.