Yulia, that prayer sucked. Not that it made a difference. You didn't get any guidance either. ̶M̶a̶y̶b̶e̶ ̶t̶h̶i̶s̶ ̶i̶s̶ ̶t̶h̶e̶ ̶r̶e̶a̶s̶o̶n̶ ̶t̶h̶e̶y̶ ̶d̶i̶d̶n̶'̶t̶ ̶l̶e̶t̶ ̶y̶o̶u̶ ̶b̶e̶c̶o̶m̶e̶ ̶a̶ ̶n̶u̶n̶. Anyway, you did the sacrifice, it sucked, but you ultimately succeeded in advancing. Not only that, but you now are an experienced adventurer with some idea of what to expect on a floor, so use that knowledge.
Make scouting out Alide and the rest area your priority, gather information on the threats and deals you can make and don't be afraid to blast enemies in the face with an icicle if they are hostile.
Consider making a battle plan with Cherchiel. Your greatest strength is arguably your Great Heal and Great Cure which you are not making use of. Consider giving Cherchiel the dagger and having her trade blows with potential enemies, as in recklessly charging in and going for the stab with no regard for defense. It will be unexpected and you can heal her back up later (make sure to communicate the limits of your healing ability, we don't want to have Cherchiel die on us or become permanently injured because your Great Heal is not so great at healing after all).
Also see if you can get equipment for Cherchiel. She probably has a preference for weapons and armor. She might need armor in order to turn lethal blows into ones that you can heal. You're not a front-line fighter, you're a supporter, so act accordingly. Cherchiel on the other hand is a strong wrestler, able to pin down enemies or distract them enough so they fail dodging your icicle. Or maybe just start the spell a little, aiming at the enemy to make them pay attention to you to give Cherchiel an opening. You got lucky in the early tutorial fights, but don't expect to win fights by flailing your dagger anymore. Now you need some strategy.
Consider taking alternating watch. Maybe you get super lucky and angels don't sleep, but otherwise you can have one asleep for 8 hours, swap for another 8 hours, then have 8 hours of exploring together. That effectively halves your exploration time, but you won't get surprised by enemies in your sleep. Keep that in mind next time you meet a pervert offering to scare away monsters to molest you in your sleep.
Maybe you can yet prove to the tower that you are worthy.