Daily baths can be ok if the right products are used. Many show dogs are bathed constantly and they have great coats. Maybe suggest she wash with just a conditioner if she wants to wash daily, with a shampoo weekly or after the beach. Still follow with conditioner when shampooing, though.
And make sure the rules of shampooing are followed. The rule I learned from groomers: rinse, rinse, and rinse some more, and when you think you are done rinsing, rinse again!
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First time Chihuahua owner with many years of dog experience!