My wife left me because of my infidelity, does she have the right to ask for support?

Yes. Obligation to support stemming from marriage is a legal right on the part of the spouse who needs it, and it may not be rejected other than in cases provided by law. In such cases like when the wife leaves the home or refuses to live therein, without just reason.
Mere separation by the spouses will not abrogate or restrain the legal right to support, which is patently provided by law.
The fact that your wife left you because of your infidelity, is not enough cause to deny her of her right to receive support, you must show that she left your home without just cause.