Alcohol does not cause your body temperature to rise, but rather to drop. The reason one may assume their body temperature is falling is due to the symptoms alcohol imposes on the person consuming it. The most important part of all of this, according to Tipton in the linked Patient article, is that this is all an illusion that one might feel their body temperature is rising. Tipton adds to his argument, writing "By flushing and sweating you are delivering more heat to the skin and thereby increasing heat loss from the 'core' of the body to the environment."
The blood supply in the person's body is actually losing heat. Another fact proving these is the hypothermia reports of intoxicated patients. Hypothermia, according to the article, is defined as a process "which occurs when your body temperature drops so low that it causes a cardiac arrest." The article continues to go on to say that " A study of hypothermia and alcohol poisoning in adolescents found that in winter 26.6% of the intoxicated subjects experienced mild hypothermia. This was compared to 18.0% in the summer." This further adds to the support of the environmental factors that contribute to ones internal regulation and can alter a given process.
RESEARCH LINK - https://patient.info/news-and-features/how-does-alcohol-affect-your-body-temperature