For goodness sake how on earth are you going to spoil a 6 week old baby? She's practically still a foetus!
Ok I will try and off my high horse a bit and stick to the basics. Yes it's completely normal, yes I've been through the exact same thing and if advising myself before it happened with hindsight IYSWIM I would say this; forget about EVERYTHING other than feeding yourself and your baby - other than bathroom breaks (take her with you and learn to do it one-handed) and changing her nappy.
THIS WILL PASS! It will probably get worse before it gets better but it's just a phase which involves a growth spurt (ie more food must go in so she can grow at a faster rate), a few development leaps (google wonder weeks, there's loads close together at this stage), building up and maintaining your milk supply, learning to breastfeed (its a skill, DS is now done in 10 mins each side unless falling asleep and comfort sucking) cluster feeding and non-nutritional sucking for comfort.
You are the only thing she knows at the moment, she doesn't even know she's a separate person to you. PLEASE don't leave her to cry, it's the only way she can communicate. Responding won't spoil her; it will build her confidence until she is able to develop the skills to look after herself.
If you maintain the attitude that your job is to breastfeed right now, life will get a lot easier. It also might help to learn to do it lying down so you can get some rest too.
Listen to your instincts, if you want to BF you need to work hard at it to make it pay off. Trust me it is very much worth it in the end.
You're doing a great job feeding that baby, she finds it comforting so you are doing the right thing. maybe try carrying her in a sling also? This helped us immensely during the colicky/fussy evenings.
Hope some of that helps :)