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According to this other post from James Jacobs, a god can die (see Aroden), but we are expecting a creature of CR around 50 or more.

Just because we've never statted up a CR 50 creature doesn't mean you can't do so!

While there is no direct relation between CR and HD, if I had to guess we are looking at a creature of HD 50-60 or even higher, as HD are usually a little higher than a creature's CR.

• Death Knell spell: temporary +1 CL. Possible if a helper uses a Sacrificial Dagger.
• Gifted Adept trait: +1 CL on 1 spell;
• Outlander trait (Loreseeker or missionary): +1 CL on 3 spells;
• Moon Circlet: situational +/- 1 or +2 CL depending on the moon;
• Arcane Beacon from arcane cleric domain: +1 CL for arcane spells. This becomes available to wizards that take the Believer's Boon feat;
• Orange Prism Ioun Stone:: +1 CL at cost of -2 on primary casting ability;
• Varisian Tattoo: It has a prerequisite of Spell Focus in the appropriate school, upping the DC +1 for every spell in that school cast and upping your CL +1 in spells from that school. Divination is the only restricted school.

• Death Knell spell: temporary +1 CL. Possible if a helper uses a Sacrificial Dagger.
• Gifted Adept trait: +1 CL on 1 spell;
• Outlander trait (Loreseeker or missionary): +1 CL on 3 spells;
• Moon Circlet: situational +/- 1 or +2 CL depending on the moon;
• Arcane Beacon from arcane cleric domain: +1 CL for arcane spells. This becomes available to wizards that take the Believer's Boon feat;
• Orange Prism Ioun Stone:: +1 CL;
• Varisian Tattoo: It has a prerequisite of Spell Focus in the appropriate school, upping the DC +1 for every spell in that school cast and upping your CL +1 in spells from that school. Divination is the only restricted school.

This potentially raises the HD limit to 56, but if that is enough to make Simulacrum affect your deity is up to your GM.

This potentially raises the HD limit to 56, but if that is enough to make Simulacrum affect your deity is up to your GM. Do note that this value is nearly twice the HD of some known demigods.

Divine Heralds

Most deities have their own Divine Heralds, which do have stat blocks and could become targets of simulacrum, as most are 18 HD (with one exception). But considering you are a 20 level caster, you might consider conjuring the herald instead using Greater Planar Ally (their HD are just right for the spell).