How to Change this Burned Out Light Bulb
If it's a GU10 base or similar it's like a bayonet fitting. Push in then twist (usually anticlockwise) and it should pop out. 

https://www.lightbulbs-direct.com/article/gu10-lightbulb-guide/

To grip the bulb use a sucker or removal tool, eg

https://www.screwfix.com/p/wolfcraft-wfc-5499000-gu10-lamp-removal-tool/6084k