No Problem, I'd definitely not run without battery unless that battery was junk with a shorted cell and cooked when plugged in and no money to replace battery and in that case, I'd run the laptop through a battery backup if available to try to protect from corruption to the HDD. Additionally running without battery will cause your power supply to roast as for its carrying the full weight of the load and run hotter than if a healthy battery was installed and fully charged with charge/discharge cycles that the charging circuit goes through.