Yael, there are ways around dermatitis in nursing. Hand washing is stringent but not as severe as every 5 minutes. There is an antibacterial hand "wash" that most nurses now use as opposed to washing their hands as frequently. At Uni we are now taught we only need to wash when comming into contact with urine, feces or blood - and then only if you have visiably got it on your hands. Otherwise they use this microbacterial thing. How frequently you actually do a proper wash is up to you in the end - I still wash more than most. There are also "soft" hand washes on most wards and latex free gloves. I can't wear the traditional gloves but have never had any problems with the latex free ones and can always get hold of them. I also find that a great moistureiser helps keep dermatitis at bay. I use sorbolene or baby oil depending on what I'll be doing. So maybe have a play with different things and see how far you can push your hands. Also, there are areas of nursing that require less hand washing than others! I wouldn't suggest you go into surgical for example!
Good luck with whatever you decide though.

MG