How do I approach the woman I am in love with?

The topic:
I am a middle-aged man looking for a stable relationship. There is a woman I bump into nearly every day I think I am in love with her. I am however usually afraid of approaching her fearing that she may reject or embarrass me. I really like her and need your advice on how to approach her. I have never been in a serious relationship but hope I can get into one and more so with this lady. Please help me.
{Felix}