First off, you will have to be well prepared to take on the queen.

Find the best weapons you can currently get, a good ranged weapon that deals lots of damage is important.

Stock up on lots and lots of ammo, you'll know you have enough when you have about 200 bullets for your weapon of choice.

Hydration and healing items are also important, as you do not want to run out of stamina or health during the encounter.

You can stock up on food and nutrition, too, to make the fight a little easier, however, this is not important.

Take a look at your map by pressing M.

There will be around 4 bosses on each playthrough on average. Each of them are marked with an exclamation mark.

The Riot Zumbie is usually marked with a grey exclamation mark, and is always found at a police station.

The Queen Zumbie is usually marked with a green exclamation mark, and is always found on the top of a three-story metalworking building.

Unlike the Riot Zumbie, the Queen Zumbie is not easily accessible, as you will have to fight your way through all three stories of the metalworking building, where lots of Zumbies will be guarding her.

Once you reach the top of the building, you will meet the Queen patiently lying in her slumber before a cutscene plays when approaching.

Many Zumbi Blocks players have been discussing how to properly deal with the Queen, however I think I have found a good method that should work for everyone.

First off, quitely approach the Queen from an angle where she can not percieve you while you approach. In this state, the Queen does not know you yet, so she is very prone to attacking you at this stage.

Use this short moment of vulnerability to make some contact. Give a light pet on the forehead, behind the horns, on the hips or on the shoulders. This should clearly signal that you are not a threat and that you are, indeed, here not to fight. Do not touch the wings at this stage, as the Queen could see this as an attack.

This will certainly wake the Queen up, you should take these next vital moments to introduce yourself. A light hello will do the trick, and saying your name to her will do a good job of building up trust and rapport very early on.

Next up, some small talk to socially lubricate the situation. Ask why she is sleeping atop of a large house, mention the good weather, or the beauty of the island you have both found yourselves on.
A compliment will also go a long way. Complimenting the eyes, horns and wings is most popular.

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Now that you have made acquaintance with the Queen, you are free to proceed with the late stage of the first-time engagement.

Be the first to strike up conversation, and always make an effort to uphold it. Show interest, not desperation, but also not absolute indifference. It is key to strike up a good balance. Talk about yourself, ask about the Queen, and how it is commanding a whole army of Zumbies. I can tell you, there is no shortage of topics you two could talk about. Start off slow and easy but don't be afraid to spice up the conversation later!

At this stage it is also possible that you make some subtle nudges, like smiling in a sincere way, staring for a bit longer than expected, making more light body contact and displaying good and light-hearted humour. Only through exerting a friendly and forthcoming aura do you have any chance at emotionally bonding with the Queen to a further level. Be a good listener, and have some good things ready to be listened to.

And that is basically it! You have now made friends with the Queen Zumbie. What you do from this point is up to you.

You can ask her out on a long walk along the shoreline, visit the local suburban neighborhoods, take the Riot Zumbie down at the police station out for a coffee break with her, cutting down hordes of other survivors together, or even asking her to come over to your spawn point to spend the night together. Just don't move too fast, or it might end up going backwards!

Now enjoy your days with the Queen. You've earned it, King.