How does testosterone change glucose and lipid metabolism?

Varies: Testosterone can help build muscle which helps decrease Insulin resistance and can help with glucose metabolism. The cholesterol levels vary depending on the testosterone taken. Usually in physiologic levels, it is neutral but when too much is taken, it decreases the HDL and therefore can worsen your profile. All medicine works best within physiologic ranges and with lifestyle.

Indirectly: If you dont have enough testosterone, you might end up w/too much fat & not enough muscle. Then as a result of excess fat, your glucose & cholesterol will be too high.