Yes, it is OK, even recommended by Tesla to leave the Tesla Model Y plugged in. Set the daily charging limit (found under charging settings and in the Tesla app) to no more than 80%, even 60% is OK since you don't drive very often. The only caveat is since you are currently charging using Level 1 charging (that's 120V charging) charging is slow. Charging from 60% to 90% before leaving for a trip could take 24 hours. That is why 75% or 80% might be better for your daily charging limit. (If you had Level 2 (240V) charging at home you could charge at up to 15% per hour added to the battery.)
Thunderstorms, power outages are times when I always unplug my Tesla Model Y. The risk to the Tesla vehicle during storms or while power is being restored (power surges) is small but the potential is there for significant damage to the vehicle's electrical systems.)
Check out the Plugshare app (for your phone or on the web) for nearby places where you can charge your Tesla Model Y (sometimes even at no cost to you for at least a couple of hours while parked, shopping or dining.) Your Tesla Model Y should have come with the Tesla J1772 charging adapter (if not, it is available from the Tesla online store for $50, definitely worth having on hand.) Most of the public Level 2 charging stations will enable you to charge at 200V to 208V (that is the voltage standard for commercial 200V power) and 30 amps, perhaps 40 amps. That would charge your Tesla Model Y at 8% or more per hour, give you a sense of what you could expect as far as 240V charging at home, i.e. 10% or more state of charge (SOC) added to the battery for each hour you charge.
Tesla SAE J1772 Charging Adapter
Use the Tesla Navigation system to locate nearby Supercharger locations (also, third-party DC Fast Charge Locations.) Your Tesla Model Y would need be verified compatible with CCS charging (check under vehicle configuration settings.) Tesla sells a CCS Combo 1 charging adapter for $175, other CCS adapters are available on Amazon, some for less than $100. (It might be worthwhile if you live where there are still limited Supercharger locations or on your travel route. Otherwise it appears than most of not all of the EV manufacturers in North America have signed on to use the North America Charging Standard (NACS). NACS is the charging standard, connector that Tesla uses.)