Is it normal that i want to change the spelling of my name by one letter??

My name is Teresa and I want to change the spelling to Tereza. Now before you start making fun of me for being upset about one letter, just hear me out..
I was named after Mother Teresa and all my life there was always this sort of pressure on me to live up to being a specific kind of person. I know many people have that feeling about stuff, but I can't seem to shake it. It didn't bother me until I was like 14. I'm 22, and I thought I would grow out of it by now, but this last year, it has hit me harder. My family constantly makes it known when they are surprised/disappointed I'm not this sweet, Catholic woman. I'm not pretending to be this bad-ass rebel or anything, because I'm not one.. I'm just an atheist. Lol. I know it seems silly, but this name actually holds a burden. Especially in this family. My entire family is Catholic/Christian and being an atheist is already putting this huge target on me, so imagine how many times the meaning behind my name is brought up. I thought about changing it completely, but my parents were kind of hurt by the idea, so I changed my mind. I'm trying to get people to call me Tere, but it's not catching on and I still have to write out Teresa when I sign stuff....
I recently saw that someone spelled Teresa with a Z and already just looking at it, it didn't seem to have the weight to it like mine did. I know the story behind why my parents named me Teresa will always be there, but I seriously feel like changing the spelling would allow me to avoid carrying the burden of that meaning. I know it seems silly, but it's something that has bothered me for some time, now.
More than likely I am going to do this anyway, but I want to hear from people who aren't related to me exactly how ridiculous or maybe understandable my situation is.