After including Homie.h min() function has to be called as std::min() about homie-esp8266 HOT 1 CLOSED

It's not Homie' fault.

The min() you're using when you call the min() function is not the std one, but the one defined by a #define there. The problem is ESP8266WiFi.h undefines both min and max. You can try:

#include <ESP8266WiFi.h>

void setup() {
  min(2,3);
}

void loop() {
  delay(100);
}

It won't work either. The issue is tracked at esp8266/Arduino#398

As a workaround, you can use _min and _max.

from homie-esp8266.